10009282425025 has 27 divisors (see below), whose sum is σ = 13439958777819. Its totient is φ = 7391318238720.

The previous prime is 10009282425011. The next prime is 10009282425047. The reversal of 10009282425025 is 52052428290001.

The square root of 10009282425025 is 3163745.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8686359191169 + 1322923233856 = 2947263^2 + 1150184^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10009282425025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205619089 + ... + 205667761.

Almost surely, 2^{10009282425025} is an apocalyptic number.

10009282425025 is the 3163745-th square number.

10009282425025 is the 1581873-rd centered octagonal number.

It is an amenable number.

10009282425025 is a deficient number, since it is larger than the sum of its proper divisors (3430676352794).

10009282425025 is an frugal number, since it uses more digits than its factorization.

10009282425025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97382 (or 48691 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 10009282425025 in words is "ten trillion, nine billion, two hundred eighty-two million, four hundred twenty-five thousand, twenty-five".