10207262961 has 81 divisors (see below), whose sum is σ = 18283812651. Its totient is φ = 5470222464.

The previous prime is 10207262959. The next prime is 10207262969. The reversal of 10207262961 is 16926270201.

The square root of 10207262961 is 101031.

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

10207262961 is a `hidden beast` number, since 1 + 0 + 20 + 7 + 2 + 629 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7946831025 + 2260431936 = 89145^2 + 47544^2 .

It is not a de Polignac number, because 10207262961 - 2¹ = 10207262959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10207262969) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36067926 + ... + 36068208.

Almost surely, 2^10207262961 is an apocalyptic number.

10207262961 is the 101031-st square number.

10207262961 is the 50516-th centered octagonal number.

It is an amenable number.

10207262961 is a deficient number, since it is larger than the sum of its proper divisors (8076549690).

10207262961 is an equidigital number, since it uses as much as digits as its factorization.

10207262961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 10207262961 by its sum of digits (36), we get a square (367461466596 = 606186²).

The spelling of 10207262961 in words is "ten billion, two hundred seven million, two hundred sixty-two thousand, nine hundred sixty-one".