513136635131 has 2 divisors, whose sum is σ = 513136635132. Its totient is φ = 513136635130.

The previous prime is 513136635047. The next prime is 513136635161. The reversal of 513136635131 is 131536631315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513136635131 - 2¹⁴ = 513136618747 is a prime.

It is a super-2 number, since 2×513136635131² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (513136635161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256568317565 + 256568317566.

It is an arithmetic number, because the mean of its divisors is an integer number (256568317566).

Almost surely, 2^513136635131 is an apocalyptic number.

513136635131 is a deficient number, since it is larger than the sum of its proper divisors (1).

513136635131 is an equidigital number, since it uses as much as digits as its factorization.

513136635131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72900, while the sum is 38.

The spelling of 513136635131 in words is "five hundred thirteen billion, one hundred thirty-six million, six hundred thirty-five thousand, one hundred thirty-one".