51125600 has 36 divisors (see below), whose sum is σ = 124812324. Its totient is φ = 20449920.

The previous prime is 51125597. The next prime is 51125617. The reversal of 51125600 is 652115.

It is a super-2 number, since 2×51125600² = 5227653950720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31154 + ... + 32753.

It is an arithmetic number, because the mean of its divisors is an integer number (3467009).

Almost surely, 2^51125600 is an apocalyptic number.

51125600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51125600 is an abundant number, since it is smaller than the sum of its proper divisors (73686724).

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

51125600 is a wasteful number, since it uses less digits than its factorization.

51125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63927 (or 63914 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 51125600 is about 7150.2167799305. The cubic root of 51125600 is about 371.1471579309.

Adding to 51125600 its reverse (652115), we get a palindrome (51777715).

The spelling of 51125600 in words is "fifty-one million, one hundred twenty-five thousand, six hundred".