516087312201 has 48 divisors (see below), whose sum is σ = 763896107520. Its totient is φ = 335646063360.

The previous prime is 516087312163. The next prime is 516087312211. The reversal of 516087312201 is 102213780615.

516087312201 is a `hidden beast` number, since 5 + 1 + 60 + 87 + 312 + 201 = 666.

516087312201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 516087312201 - 2⁷ = 516087312073 is a prime.

It is a super-2 number, since 2×516087312201² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (516087312211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109733416 + ... + 109738118.

It is an arithmetic number, because the mean of its divisors is an integer number (15914502240).

Almost surely, 2^516087312201 is an apocalyptic number.

It is an amenable number.

516087312201 is a deficient number, since it is larger than the sum of its proper divisors (247808795319).

516087312201 is a wasteful number, since it uses less digits than its factorization.

516087312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 516087312201 in words is "five hundred sixteen billion, eighty-seven million, three hundred twelve thousand, two hundred one".