516136126416165 has 48 divisors (see below), whose sum is σ = 903344297102208. Its totient is φ = 272593243582848.

The previous prime is 516136126416091. The next prime is 516136126416233. The reversal of 516136126416165 is 561614621631615.

516136126416165 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 3 + 6 + 12 + 6 + 4 + 1 + 616 + 5 = 666.

It is not a de Polignac number, because 516136126416165 - 2⁴⁵ = 480951754327333 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186982362 + ... + 189722628.

It is an arithmetic number, because the mean of its divisors is an integer number (18819672856296).

Almost surely, 2^{516136126416165} is an apocalyptic number.

It is an amenable number.

516136126416165 is a deficient number, since it is larger than the sum of its proper divisors (387208170686043).

516136126416165 is a wasteful number, since it uses less digits than its factorization.

516136126416165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781018 (or 2781015 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 516136126416165 in words is "five hundred sixteen trillion, one hundred thirty-six billion, one hundred twenty-six million, four hundred sixteen thousand, one hundred sixty-five".