51601600 has 42 divisors (see below), whose sum is σ = 126976124. Its totient is φ = 20640000.

The previous prime is 51601567. The next prime is 51601601. The reversal of 51601600 is 610615.

It is not an unprimeable number, because it can be changed into a prime (51601601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14526 + ... + 17725.

Almost surely, 2^51601600 is an apocalyptic number.

51601600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51601600 is an abundant number, since it is smaller than the sum of its proper divisors (75374524).

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

51601600 is a wasteful number, since it uses less digits than its factorization.

51601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32273 (or 32258 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 51601600 is about 7183.4253667732. The cubic root of 51601600 is about 372.2954449482.

The spelling of 51601600 in words is "fifty-one million, six hundred one thousand, six hundred".