9251263644921 has 81 divisors (see below), whose sum is σ = 14844973004589. Its totient is φ = 5550194276352.

The previous prime is 9251263644913. The next prime is 9251263644941. The reversal of 9251263644921 is 1294463621529.

The square root of 9251263644921 is 3041589.

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

9251263644921 is a `hidden beast` number, since 9 + 2 + 512 + 6 + 3 + 64 + 49 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1403421684921 + 7847841960000 = 1184661^2 + 2801400^2 .

It is not a de Polignac number, because 9251263644921 - 2³ = 9251263644913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9251263644941) 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, 3567782601 + ... + 3567785193.

Almost surely, 2^{9251263644921} is an apocalyptic number.

9251263644921 is the 3041589-th square number.

9251263644921 is the 1520795-th centered octagonal number.

It is an amenable number.

9251263644921 is a deficient number, since it is larger than the sum of its proper divisors (5593709359668).

9251263644921 is an equidigital number, since it uses as much as digits as its factorization.

9251263644921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 2636 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 9251263644921 in words is "nine trillion, two hundred fifty-one billion, two hundred sixty-three million, six hundred forty-four thousand, nine hundred twenty-one".