22810362961 has 9 divisors (see below), whose sum is σ = 24077123931. Its totient is φ = 21607098984.

The previous prime is 22810362959. The next prime is 22810362973. The reversal of 22810362961 is 16926301822.

The square root of 22810362961 is 151031.

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., 10916279361 + 11894083600 = 104481^2 + 109060^2 .

It is not a de Polignac number, because 22810362961 - 2¹ = 22810362959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22810362361) 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, 2865615 + ... + 2873563.

Almost surely, 2^22810362961 is an apocalyptic number.

22810362961 is the 151031-st square number.

22810362961 is the 75516-th centered octagonal number.

It is an amenable number.

22810362961 is a deficient number, since it is larger than the sum of its proper divisors (1266760970).

22810362961 is an frugal number, since it uses more digits than its factorization.

22810362961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15936 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 22810362961 in words is "twenty-two billion, eight hundred ten million, three hundred sixty-two thousand, nine hundred sixty-one".