657419778131 has 2 divisors, whose sum is σ = 657419778132. Its totient is φ = 657419778130.

The previous prime is 657419778089. The next prime is 657419778133. The reversal of 657419778131 is 131877914756.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-657419778131 is a prime.

It is a super-2 number, since 2×657419778131² (a number of 24 digits) contains 22 as substring.

Together with 657419778133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (657419778133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328709889065 + 328709889066.

It is an arithmetic number, because the mean of its divisors is an integer number (328709889066).

Almost surely, 2^657419778131 is an apocalyptic number.

657419778131 is a deficient number, since it is larger than the sum of its proper divisors (1).

657419778131 is an equidigital number, since it uses as much as digits as its factorization.

657419778131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8890560, while the sum is 59.

The spelling of 657419778131 in words is "six hundred fifty-seven billion, four hundred nineteen million, seven hundred seventy-eight thousand, one hundred thirty-one".