725012106561 has 8 divisors (see below), whose sum is σ = 1074092009760. Its totient is φ = 483341404356.

The previous prime is 725012106557. The next prime is 725012106619. The reversal of 725012106561 is 165601210527.

725012106561 is a `hidden beast` number, since 72 + 5 + 0 + 1 + 21 + 0 + 6 + 561 = 666.

It is not a de Polignac number, because 725012106561 - 2² = 725012106557 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (725012106521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13426150095 + ... + 13426150148.

It is an arithmetic number, because the mean of its divisors is an integer number (134261501220).

Almost surely, 2^725012106561 is an apocalyptic number.

It is an amenable number.

725012106561 is a deficient number, since it is larger than the sum of its proper divisors (349079903199).

725012106561 is a wasteful number, since it uses less digits than its factorization.

725012106561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26852300252 (or 26852300246 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 725012106561 in words is "seven hundred twenty-five billion, twelve million, one hundred six thousand, five hundred sixty-one".