51675600 has 60 divisors (see below), whose sum is σ = 165538016. Its totient is φ = 13779840.

The previous prime is 51675599. The next prime is 51675647. The reversal of 51675600 is 657615.

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

It is a super-3 number, since 3×51675600³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20332 + ... + 22731.

Almost surely, 2^51675600 is an apocalyptic number.

51675600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51675600 is an abundant number, since it is smaller than the sum of its proper divisors (113862416).

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

51675600 is a wasteful number, since it uses less digits than its factorization.

51675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43084 (or 43073 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 51675600 is about 7188.5742675443. The cubic root of 51675600 is about 372.4733251172.

The spelling of 51675600 in words is "fifty-one million, six hundred seventy-five thousand, six hundred".