556516401 has 16 divisors (see below), whose sum is σ = 848534400. Its totient is φ = 317818368.

The previous prime is 556516381. The next prime is 556516423. The reversal of 556516401 is 104615655.

It is not a de Polignac number, because 556516401 - 2¹⁵ = 556483633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (556516601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32655 + ... + 46683.

It is an arithmetic number, because the mean of its divisors is an integer number (53033400).

Almost surely, 2^556516401 is an apocalyptic number.

It is an amenable number.

556516401 is a deficient number, since it is larger than the sum of its proper divisors (292017999).

556516401 is a wasteful number, since it uses less digits than its factorization.

556516401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928.

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 556516401 is about 23590.5998440057. The cubic root of 556516401 is about 822.5443482091.

The spelling of 556516401 in words is "five hundred fifty-six million, five hundred sixteen thousand, four hundred one".