516331156401 has 20 divisors (see below), whose sum is σ = 771508919412. Its totient is φ = 344131776288.

The previous prime is 516331156391. The next prime is 516331156427. The reversal of 516331156401 is 104651133615.

516331156401 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 3 + 1 + 1 + 5 + 640 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 302498900001 + 213832256400 = 549999^2 + 462420^2 .

It is not a de Polignac number, because 516331156401 - 2¹⁸ = 516330894257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516331152401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 508050 + ... + 1136123.

Almost surely, 2^516331156401 is an apocalyptic number.

It is an amenable number.

516331156401 is a deficient number, since it is larger than the sum of its proper divisors (255177763011).

516331156401 is a wasteful number, since it uses less digits than its factorization.

516331156401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648062 (or 1648053 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 516331156401 in words is "five hundred sixteen billion, three hundred thirty-one million, one hundred fifty-six thousand, four hundred one".