51525976100 has 72 divisors (see below), whose sum is σ = 112380177000. Its totient is φ = 20505830400.

The previous prime is 51525976087. The next prime is 51525976157. The reversal of 51525976100 is 167952515.

It can be written as a sum of positive squares in 12 ways, for example, as 1435955236 + 50090020864 = 37894^2 + 223808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18879536 + ... + 18882264.

Almost surely, 2^51525976100 is an apocalyptic number.

51525976100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51525976100 is an abundant number, since it is smaller than the sum of its proper divisors (60854200900).

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

51525976100 is a wasteful number, since it uses less digits than its factorization.

51525976100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 41.

The spelling of 51525976100 in words is "fifty-one billion, five hundred twenty-five million, nine hundred seventy-six thousand, one hundred".