51575809456900 has 27 divisors (see below), whose sum is σ = 111919662363061. Its totient is φ = 20630295056240.

The previous prime is 51575809456877. The next prime is 51575809456909. The reversal of 51575809456900 is 965490857515.

The square root of 51575809456900 is 7181630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18567291404484 + 33008518052416 = 4308978^2 + 5745304^2 .

It is a super-2 number, since 2×51575809456900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51575809456909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71457219 + ... + 72175381.

Almost surely, 2^{51575809456900} is an apocalyptic number.

51575809456900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51575809456900 is the 7181630-th square number.

It is an amenable number.

51575809456900 is an abundant number, since it is smaller than the sum of its proper divisors (60343852906161).

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

51575809456900 is an frugal number, since it uses more digits than its factorization.

51575809456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436340 (or 718170 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 64.

The spelling of 51575809456900 in words is "fifty-one trillion, five hundred seventy-five billion, eight hundred nine million, four hundred fifty-six thousand, nine hundred".