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5053077225 = 3252726772
BaseRepresentation
bin1001011010010111…
…11101011011101001
3111001011020220211100
410231023331123221
540322041432400
62153224552013
7236135306400
oct45513753351
914034226740
105053077225
11216336a789
12b90322609
13626b53831
1435d15a637
151e893d100
hex12d2fd6e9

5053077225 has 81 divisors (see below), whose sum is σ = 10543849797. Its totient is φ = 2306566080.

The previous prime is 5053077223. The next prime is 5053077251. The reversal of 5053077225 is 5227703505.

It is a happy number.

The square root of 5053077225 is 71085.

It is a perfect power (a square), and thus also a powerful number.

5053077225 is a `hidden beast` number, since 50 + 530 + 7 + 72 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1455956649 + 3597120576 = 38157^2 + 59976^2 .

It is not a de Polignac number, because 5053077225 - 21 = 5053077223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5053077225.

It is not an unprimeable number, because it can be changed into a prime (5053077223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7463587 + ... + 7464263.

Almost surely, 25053077225 is an apocalyptic number.

5053077225 is the 71085-th square number.

5053077225 is the 35543-rd centered octagonal number.

It is an amenable number.

5053077225 is an abundant number, since it is smaller than the sum of its proper divisors (5490772572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5053077225 is an equidigital number, since it uses as much as digits as its factorization.

5053077225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The cubic root of 5053077225 is about 1716.0053802381.

Multiplying 5053077225 by its sum of digits (36), we get a square (181910780100 = 4265102).

The spelling of 5053077225 in words is "five billion, fifty-three million, seventy-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 677 735 1225 1575 2031 2205 3385 3675 4739 6093 10155 11025 14217 16925 23695 30465 33173 42651 50775 71085 99519 118475 152325 165865 213255 298557 355425 458329 497595 829325 1066275 1374987 1492785 2291645 2487975 3208303 4124961 6874935 7463925 9624909 11458225 16041515 20624805 22458121 28874727 34374675 48124545 67374363 80207575 103124025 112290605 144373635 202123089 240622725 336871815 561453025 721868175 1010615445 1684359075 5053077225