51165600 has 72 divisors (see below), whose sum is σ = 166551840. Its totient is φ = 13643520.

The previous prime is 51165577. The next prime is 51165607. The reversal of 51165600 is 656115.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51165607) by changing a digit.

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, 8260 + ... + 13059.

It is an arithmetic number, because the mean of its divisors is an integer number (2313220).

Almost surely, 2^51165600 is an apocalyptic number.

51165600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51165600 is an abundant number, since it is smaller than the sum of its proper divisors (115386240).

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

51165600 is a wasteful number, since it uses less digits than its factorization.

51165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21342 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 51165600 is about 7153.0133510291. The cubic root of 51165600 is about 371.2439262574.

The spelling of 51165600 in words is "fifty-one million, one hundred sixty-five thousand, six hundred".