10307984466025 has 9 divisors (see below), whose sum is σ = 12781920643653. Its totient is φ = 8246374730400.

The previous prime is 10307984466007. The next prime is 10307984466049. The reversal of 10307984466025 is 52066448970301.

The square root of 10307984466025 is 3210605.

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

It can be written as a sum of positive squares in 4 ways, for example, as 855778556889 + 9452205909136 = 925083^2 + 3074444^2 .

It is not a de Polignac number, because 10307984466025 - 2²⁵ = 10307950911593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15731965 + ... + 16374085.

It is a 1-persistent number, because it is pandigital, but 2⋅10307984466025 = 20615968932050 is not.

Almost surely, 2^{10307984466025} is an apocalyptic number.

10307984466025 is the 3210605-th square number.

10307984466025 is the 1605303-rd centered octagonal number.

It is an amenable number.

10307984466025 is a deficient number, since it is larger than the sum of its proper divisors (2473936177628).

10307984466025 is an frugal number, since it uses more digits than its factorization.

10307984466025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284252 (or 642126 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 10307984466025 in words is "ten trillion, three hundred seven billion, nine hundred eighty-four million, four hundred sixty-six thousand, twenty-five".