51325335632025 has 216 divisors, whose sum is σ = 119135468513880. Its totient is φ = 20911328686080.

The previous prime is 51325335632003. The next prime is 51325335632047. The reversal of 51325335632025 is 52023653352315.

51325335632025 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 5 + 3 + 3 + 5 + 632 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (51325335632003) and next prime (51325335632047).

It can be written as a sum of positive squares in 12 ways, for example, as 32035645280016 + 19289690352009 = 5660004^2 + 4392003^2 .

It is not a de Polignac number, because 51325335632025 - 2⁸ = 51325335631769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2017792 + ... + 10330641.

Almost surely, 2^{51325335632025} is an apocalyptic number.

It is an amenable number.

51325335632025 is an abundant number, since it is smaller than the sum of its proper divisors (67810132881855).

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

51325335632025 is a wasteful number, since it uses less digits than its factorization.

51325335632025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348505 (or 12348490 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 45.

The spelling of 51325335632025 in words is "fifty-one trillion, three hundred twenty-five billion, three hundred thirty-five million, six hundred thirty-two thousand, twenty-five".