22610580561 has 24 divisors (see below), whose sum is σ = 33223750560. Its totient is φ = 14813563776.

The previous prime is 22610580547. The next prime is 22610580569. The reversal of 22610580561 is 16508501622.

22610580561 is a `hidden beast` number, since 2 + 2 + 6 + 10 + 5 + 80 + 561 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-22610580561 is a prime.

It is a super-2 number, since 2×22610580561² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22610580569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2728921 + ... + 2737193.

It is an arithmetic number, because the mean of its divisors is an integer number (1384322940).

Almost surely, 2^22610580561 is an apocalyptic number.

It is an amenable number.

22610580561 is a deficient number, since it is larger than the sum of its proper divisors (10613169999).

22610580561 is a wasteful number, since it uses less digits than its factorization.

22610580561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13485 (or 13482 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 22610580561 in words is "twenty-two billion, six hundred ten million, five hundred eighty thousand, five hundred sixty-one".