513136635121 has 32 divisors (see below), whose sum is σ = 571424958720. Its totient is φ = 456882585600.

The previous prime is 513136635047. The next prime is 513136635131. The reversal of 513136635121 is 121536631315.

It is a cyclic number.

It is not a de Polignac number, because 513136635121 - 2⁷ = 513136634993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513136635131) 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, 118313865 + ... + 118318201.

It is an arithmetic number, because the mean of its divisors is an integer number (17857029960).

Almost surely, 2^513136635121 is an apocalyptic number.

It is an amenable number.

513136635121 is a deficient number, since it is larger than the sum of its proper divisors (58288323599).

513136635121 is a wasteful number, since it uses less digits than its factorization.

513136635121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385.

The product of its digits is 48600, while the sum is 37.

The spelling of 513136635121 in words is "five hundred thirteen billion, one hundred thirty-six million, six hundred thirty-five thousand, one hundred twenty-one".