51531600 has 60 divisors (see below), whose sum is σ = 165076736. Its totient is φ = 13741440.

The previous prime is 51531593. The next prime is 51531617. The reversal of 51531600 is 613515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 20272 + ... + 22671.

Almost surely, 2^51531600 is an apocalyptic number.

51531600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51531600 is an abundant number, since it is smaller than the sum of its proper divisors (113545136).

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

51531600 is a wasteful number, since it uses less digits than its factorization.

51531600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42964 (or 42953 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 51531600 is about 7178.5513858995. The cubic root of 51531600 is about 372.1270233345.

The spelling of 51531600 in words is "fifty-one million, five hundred thirty-one thousand, six hundred".