7997591057 has 2 divisors, whose sum is σ = 7997591058. Its totient is φ = 7997591056.

The previous prime is 7997591047. The next prime is 7997591059. The reversal of 7997591057 is 7501957997.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7320342481 + 677248576 = 85559^2 + 26024^2 .

It is a cyclic number.

It is not a de Polignac number, because 7997591057 - 2²⁶ = 7930482193 is a prime.

It is a super-2 number, since 2×7997591057² (a number of 21 digits) contains 22 as substring.

Together with 7997591059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 7997590987 and 7997591005.

It is not a weakly prime, because it can be changed into another prime (7997591059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3998795528 + 3998795529.

It is an arithmetic number, because the mean of its divisors is an integer number (3998795529).

Almost surely, 2^7997591057 is an apocalyptic number.

It is an amenable number.

7997591057 is a deficient number, since it is larger than the sum of its proper divisors (1).

7997591057 is an equidigital number, since it uses as much as digits as its factorization.

7997591057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6251175, while the sum is 59.

The square root of 7997591057 is about 89429.2516853406. The cubic root of 7997591057 is about 1999.7992345973.

The spelling of 7997591057 in words is "seven billion, nine hundred ninety-seven million, five hundred ninety-one thousand, fifty-seven".