7935715000657 has 2 divisors, whose sum is σ = 7935715000658. Its totient is φ = 7935715000656.

The previous prime is 7935715000537. The next prime is 7935715000739. The reversal of 7935715000657 is 7560005175397.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7929270282816 + 6444717841 = 2815896^2 + 80279^2 .

It is a cyclic number.

It is not a de Polignac number, because 7935715000657 - 2³⁵ = 7901355262289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7935715000598 and 7935715000607.

It is not a weakly prime, because it can be changed into another prime (7935715001657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3967857500328 + 3967857500329.

It is an arithmetic number, because the mean of its divisors is an integer number (3967857500329).

Almost surely, 2^{7935715000657} is an apocalyptic number.

It is an amenable number.

7935715000657 is a deficient number, since it is larger than the sum of its proper divisors (1).

7935715000657 is an equidigital number, since it uses as much as digits as its factorization.

7935715000657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6945750, while the sum is 55.

The spelling of 7935715000657 in words is "seven trillion, nine hundred thirty-five billion, seven hundred fifteen million, six hundred fifty-seven", and thus it is an aban number.