125967496561 has 15 divisors (see below), whose sum is σ = 131389987593. Its totient is φ = 120764738940.

The previous prime is 125967496517. The next prime is 125967496619. The reversal of 125967496561 is 165694769521.

It is a happy number.

The square root of 125967496561 is 354919.

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

It is not a de Polignac number, because 125967496561 - 2⁹ = 125967496049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125967496561.

It is not an unprimeable number, because it can be changed into a prime (125967496511) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1177266270 + ... + 1177266376.

Almost surely, 2^125967496561 is an apocalyptic number.

125967496561 is the 354919-th square number.

125967496561 is the 177460-th centered octagonal number.

It is an amenable number.

125967496561 is a deficient number, since it is larger than the sum of its proper divisors (5422491032).

125967496561 is an frugal number, since it uses more digits than its factorization.

125967496561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 138 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 61.

The spelling of 125967496561 in words is "one hundred twenty-five billion, nine hundred sixty-seven million, four hundred ninety-six thousand, five hundred sixty-one".