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25225531425 = 3252717397223
BaseRepresentation
bin10111011111100011…
…110001000000100001
32102010000021202202200
4113133203301000201
5403130214001200
615331034403413
71552053323253
oct273743610041
972100252680
1025225531425
11a775178136
124a7bb90569
1324c018c873
1413142d3cd3
159c98c1800
hex5df8f1021

25225531425 has 144 divisors (see below), whose sum is σ = 47134983168. Its totient is φ = 12889497600.

The previous prime is 25225531421. The next prime is 25225531427. The reversal of 25225531425 is 52413552252.

25225531425 is a `hidden beast` number, since 2 + 5 + 225 + 5 + 3 + 1 + 425 = 666.

It is not a de Polignac number, because 25225531425 - 22 = 25225531421 is a prime.

It is a super-3 number, since 3×252255314253 (a number of 32 digits) contains 333 as substring.

Its product of digits (120000) is a multiple of the sum of its prime factors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 25225531425.

It is not an unprimeable number, because it can be changed into a prime (25225531421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113118864 + ... + 113119086.

It is an arithmetic number, because the mean of its divisors is an integer number (327326272).

Almost surely, 225225531425 is an apocalyptic number.

25225531425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25225531425 is a deficient number, since it is larger than the sum of its proper divisors (21909451743).

25225531425 is a wasteful number, since it uses less digits than its factorization.

25225531425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The spelling of 25225531425 in words is "twenty-five billion, two hundred twenty-five million, five hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 71 73 75 97 213 219 223 225 291 355 365 485 639 657 669 873 1065 1095 1115 1455 1775 1825 2007 2425 3195 3285 3345 4365 5183 5325 5475 5575 6887 7081 7275 10035 15549 15833 15975 16279 16425 16725 20661 21243 21631 21825 25915 34435 35405 46647 47499 48837 50175 61983 63729 64893 77745 79165 81395 103305 106215 108155 129575 142497 146511 172175 177025 194679 233235 237495 244185 309915 318645 324465 388725 395825 406975 502751 516525 531075 540775 712485 732555 973395 1155809 1166175 1187475 1220925 1508253 1535801 1549575 1579063 1593225 1622325 2513755 3467427 3562425 3662775 4524759 4607403 4737189 4866975 5779045 7541265 7679005 7895315 10402281 12568775 13822209 14211567 17337135 22623795 23037015 23685945 28895225 37706325 38395025 39476575 52011405 69111045 71057835 86685675 112113473 113118975 115185075 118429725 260057025 336340419 345555225 355289175 560567365 1009021257 1681702095 2802836825 5045106285 8408510475 25225531425