51516900 has 54 divisors (see below), whose sum is σ = 161479682. Its totient is φ = 13737600.

The previous prime is 51516887. The next prime is 51516943. The reversal of 51516900 is 961515.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 51065316 = 672^2 + 7146^2 .

It is a super-2 number, since 2×51516900² = 5307981971220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27721 + ... + 29520.

Almost surely, 2^51516900 is an apocalyptic number.

51516900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51516900 is an abundant number, since it is smaller than the sum of its proper divisors (109962782).

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

51516900 is a wasteful number, since it uses less digits than its factorization.

51516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57261 (or 57251 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 51516900 is about 7177.5274294147. The cubic root of 51516900 is about 372.0916354206.

The spelling of 51516900 in words is "fifty-one million, five hundred sixteen thousand, nine hundred".