12957496561 has 9 divisors (see below), whose sum is σ = 13114976331. Its totient is φ = 12801889584.

The previous prime is 12957496537. The next prime is 12957496567. The reversal of 12957496561 is 16569475921.

The square root of 12957496561 is 113831.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2488114161 + 10469382400 = 49881^2 + 102320^2 .

It is not a de Polignac number, because 12957496561 - 2³³ = 4367561969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12957496567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10130320 + ... + 10131598.

Almost surely, 2^12957496561 is an apocalyptic number.

12957496561 is the 113831-st square number.

12957496561 is the 56916-th centered octagonal number.

It is an amenable number.

12957496561 is a deficient number, since it is larger than the sum of its proper divisors (157479770).

12957496561 is an frugal number, since it uses more digits than its factorization.

12957496561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 1368 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 55.

The spelling of 12957496561 in words is "twelve billion, nine hundred fifty-seven million, four hundred ninety-six thousand, five hundred sixty-one".