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25053413125 = 54137733989
BaseRepresentation
bin10111010101010011…
…001011111100000101
32101200000102020211211
4113111103023330011
5402302133210000
615302005331421
71544563332526
oct272523137405
971600366754
1025053413125
11a696aa9104
124a32406b71
132493618310
1412d94cc84d
159b97237ba
hex5d54cbf05

25053413125 has 40 divisors (see below), whose sum is σ = 33767034840. Its totient is φ = 18472416000.

The previous prime is 25053413089. The next prime is 25053413131. The reversal of 25053413125 is 52131435052.

It can be written as a sum of positive squares in 20 ways, for example, as 21846909249 + 3206503876 = 147807^2 + 56626^2 .

It is not a de Polignac number, because 25053413125 - 217 = 25053282053 is a prime.

It is a super-3 number, since 3×250534131253 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6278631 + ... + 6282619.

It is an arithmetic number, because the mean of its divisors is an integer number (844175871).

Almost surely, 225053413125 is an apocalyptic number.

25053413125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25053413125 is a deficient number, since it is larger than the sum of its proper divisors (8713621715).

25053413125 is an equidigital number, since it uses as much as digits as its factorization.

25053413125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 25053413125 its reverse (52131435052), we get a palindrome (77184848177).

The spelling of 25053413125 in words is "twenty-five billion, fifty-three million, four hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 625 773 1625 3865 3989 8125 10049 19325 19945 50245 51857 96625 99725 251225 259285 483125 498625 1256125 1296425 2493125 3083497 6280625 6482125 15417485 32410625 40085461 77087425 200427305 385437125 1002136525 1927185625 5010682625 25053413125