22501725561 has 120 divisors (see below), whose sum is σ = 40021359840. Its totient is φ = 12558768768.

The previous prime is 22501725557. The next prime is 22501725581. The reversal of 22501725561 is 16552710522.

22501725561 is a `hidden beast` number, since 2 + 25 + 0 + 1 + 72 + 5 + 561 = 666.

It is not a de Polignac number, because 22501725561 - 2² = 22501725557 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22501725511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71890341 + ... + 71890653.

It is an arithmetic number, because the mean of its divisors is an integer number (333511332).

Almost surely, 2^22501725561 is an apocalyptic number.

22501725561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22501725561 is a deficient number, since it is larger than the sum of its proper divisors (17519634279).

22501725561 is a wasteful number, since it uses less digits than its factorization.

22501725561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 22501725561 in words is "twenty-two billion, five hundred one million, seven hundred twenty-five thousand, five hundred sixty-one".