10597131355957 has 2 divisors, whose sum is σ = 10597131355958. Its totient is φ = 10597131355956.

The previous prime is 10597131355913. The next prime is 10597131355991. The reversal of 10597131355957 is 75955313179501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9913518233476 + 683613122481 = 3148574^2 + 826809^2 .

It is a cyclic number.

It is not a de Polignac number, because 10597131355957 - 2⁷ = 10597131355829 is a prime.

It is a super-4 number, since 4×10597131355957⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10597131355895 and 10597131355904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10597131355157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5298565677978 + 5298565677979.

It is an arithmetic number, because the mean of its divisors is an integer number (5298565677979).

Almost surely, 2^{10597131355957} is an apocalyptic number.

It is an amenable number.

10597131355957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10597131355957 is an equidigital number, since it uses as much as digits as its factorization.

10597131355957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22325625, while the sum is 61.

The spelling of 10597131355957 in words is "ten trillion, five hundred ninety-seven billion, one hundred thirty-one million, three hundred fifty-five thousand, nine hundred fifty-seven".