51086596275 has 432 divisors, whose sum is σ = 116700030720. Its totient is φ = 21155904000.

The previous prime is 51086596271. The next prime is 51086596291. The reversal of 51086596275 is 57269568015.

51086596275 is a `hidden beast` number, since 5 + 1 + 0 + 8 + 6 + 5 + 9 + 627 + 5 = 666.

It is not a de Polignac number, because 51086596275 - 2² = 51086596271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51086596271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 477444772 + ... + 477444878.

It is an arithmetic number, because the mean of its divisors is an integer number (270138960).

Almost surely, 2^51086596275 is an apocalyptic number.

51086596275 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51086596275 is an abundant number, since it is smaller than the sum of its proper divisors (65613434445).

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

51086596275 is a wasteful number, since it uses less digits than its factorization.

51086596275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 51086596275 in words is "fifty-one billion, eighty-six million, five hundred ninety-six thousand, two hundred seventy-five".