309964721814225 has 81 divisors (see below), whose sum is σ = 560780781435667. Its totient is φ = 163663656240000.

The previous prime is 309964721814157. The next prime is 309964721814247. The reversal of 309964721814225 is 522418127469903.

It is a happy number.

The square root of 309964721814225 is 17605815.

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

309964721814225 is a `hidden beast` number, since 3 + 0 + 9 + 9 + 6 + 472 + 18 + 142 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 175030756746561 + 134933965067664 = 13229919^2 + 11616108^2 .

It is not a de Polignac number, because 309964721814225 - 2⁹ = 309964721813713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26672803915 + ... + 26672815535.

It is a 1-persistent number, because it is pandigital, but 2⋅309964721814225 = 619929443628450 is not.

Almost surely, 2^{309964721814225} is an apocalyptic number.

309964721814225 is the 17605815-th square number.

309964721814225 is the 8802908-th centered octagonal number.

It is an amenable number.

309964721814225 is a deficient number, since it is larger than the sum of its proper divisors (250816059621442).

309964721814225 is an frugal number, since it uses more digits than its factorization.

309964721814225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23460 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 309964721814225 in words is "three hundred nine trillion, nine hundred sixty-four billion, seven hundred twenty-one million, eight hundred fourteen thousand, two hundred twenty-five".