516536561601 has 32 divisors (see below), whose sum is σ = 770851737600. Its totient is φ = 341837658000.

The previous prime is 516536561549. The next prime is 516536561603. The reversal of 516536561601 is 106165635615.

516536561601 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 36 + 5 + 6 + 1 + 601 = 666.

It is not a de Polignac number, because 516536561601 - 2³³ = 507946627009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516536561603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3309990 + ... + 3462528.

It is an arithmetic number, because the mean of its divisors is an integer number (24089116800).

Almost surely, 2^516536561601 is an apocalyptic number.

It is an amenable number.

516536561601 is a deficient number, since it is larger than the sum of its proper divisors (254315175999).

516536561601 is a wasteful number, since it uses less digits than its factorization.

516536561601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153466 (or 153460 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 516536561601 in words is "five hundred sixteen billion, five hundred thirty-six million, five hundred sixty-one thousand, six hundred one".