6513562653137 has 2 divisors, whose sum is σ = 6513562653138. Its totient is φ = 6513562653136.

The previous prime is 6513562653119. The next prime is 6513562653173. The reversal of 6513562653137 is 7313562653156.

Together with next prime (6513562653173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4884082320016 + 1629480333121 = 2209996^2 + 1276511^2 .

It is a cyclic number.

It is not a de Polignac number, because 6513562653137 - 2³⁴ = 6496382783953 is a prime.

It is a super-2 number, since 2×6513562653137² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6513562653937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3256781326568 + 3256781326569.

It is an arithmetic number, because the mean of its divisors is an integer number (3256781326569).

Almost surely, 2^{6513562653137} is an apocalyptic number.

It is an amenable number.

6513562653137 is a deficient number, since it is larger than the sum of its proper divisors (1).

6513562653137 is an equidigital number, since it uses as much as digits as its factorization.

6513562653137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10206000, while the sum is 53.

The spelling of 6513562653137 in words is "six trillion, five hundred thirteen billion, five hundred sixty-two million, six hundred fifty-three thousand, one hundred thirty-seven".