5180312560900 has 27 divisors (see below), whose sum is σ = 11241327647221. Its totient is φ = 2072115920240.

The previous prime is 5180312560817. The next prime is 5180312560909. The reversal of 5180312560900 is 90652130815.

The square root of 5180312560900 is 2276030.

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., 1864912521924 + 3315400038976 = 1365618^2 + 1820824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5180312560909) 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, 22646499 + ... + 22874101.

Almost surely, 2^{5180312560900} is an apocalyptic number.

5180312560900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5180312560900 is the 2276030-th square number.

It is an amenable number.

5180312560900 is an abundant number, since it is smaller than the sum of its proper divisors (6061015086321).

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

5180312560900 is an frugal number, since it uses more digits than its factorization.

5180312560900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455220 (or 227610 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 5180312560900 in words is "five trillion, one hundred eighty billion, three hundred twelve million, five hundred sixty thousand, nine hundred".