51585900 has 72 divisors (see below), whose sum is σ = 149979984. Its totient is φ = 13689600.

The previous prime is 51585899. The next prime is 51585917. The reversal of 51585900 is 958515.

It is a super-2 number, since 2×51585900² = 5322210157620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111670 + ... + 112130.

Almost surely, 2^51585900 is an apocalyptic number.

51585900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51585900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74989992).

51585900 is an abundant number, since it is smaller than the sum of its proper divisors (98394084).

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

51585900 is a wasteful number, since it uses less digits than its factorization.

51585900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 51585900 is about 7182.3324902151. The cubic root of 51585900 is about 372.2576836424.

The spelling of 51585900 in words is "fifty-one million, five hundred eighty-five thousand, nine hundred".