657048137 has 2 divisors, whose sum is σ = 657048138. Its totient is φ = 657048136.

The previous prime is 657048103. The next prime is 657048173. The reversal of 657048137 is 731840756.

Together with next prime (657048173) 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., 494128441 + 162919696 = 22229^2 + 12764^2 .

It is a cyclic number.

It is not a de Polignac number, because 657048137 - 2²⁴ = 640270921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 657048094 and 657048103.

It is not a weakly prime, because it can be changed into another prime (657048187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328524068 + 328524069.

It is an arithmetic number, because the mean of its divisors is an integer number (328524069).

Almost surely, 2^657048137 is an apocalyptic number.

It is an amenable number.

657048137 is a deficient number, since it is larger than the sum of its proper divisors (1).

657048137 is an equidigital number, since it uses as much as digits as its factorization.

657048137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 657048137 is about 25632.9502203707. The cubic root of 657048137 is about 869.3588163340.

The spelling of 657048137 in words is "six hundred fifty-seven million, forty-eight thousand, one hundred thirty-seven".