52460614420900 has 81 divisors (see below), whose sum is σ = 132426859390497. Its totient is φ = 17986322541600.

The previous prime is 52460614420883. The next prime is 52460614420909. The reversal of 52460614420900 is 902441606425.

The square root of 52460614420900 is 7242970.

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., 18885821191524 + 33574793229376 = 4345782^2 + 5794376^2 .

It is not an unprimeable number, because it can be changed into a prime (52460614420909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 506956165 + ... + 507059635.

Almost surely, 2^{52460614420900} is an apocalyptic number.

52460614420900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52460614420900 is the 7242970-th square number.

It is an amenable number.

52460614420900 is an abundant number, since it is smaller than the sum of its proper divisors (79966244969597).

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

52460614420900 is an frugal number, since it uses more digits than its factorization.

52460614420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206970 (or 103485 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 52460614420900 in words is "fifty-two trillion, four hundred sixty billion, six hundred fourteen million, four hundred twenty thousand, nine hundred".