10331370920025 has 27 divisors (see below), whose sum is σ = 18504719604319. Its totient is φ = 5510038776720.

The previous prime is 10331370919943. The next prime is 10331370920041. The reversal of 10331370920025 is 52002907313301.

It is a happy number.

The square root of 10331370920025 is 3214245.

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

10331370920025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3719293531209 + 6612077388816 = 1928547^2 + 2571396^2 .

It is not a de Polignac number, because 10331370920025 - 2¹⁷ = 10331370788953 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, 48106534 + ... + 48320816.

Almost surely, 2^{10331370920025} is an apocalyptic number.

10331370920025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10331370920025 is the 3214245-th square number.

10331370920025 is the 1607123-rd centered octagonal number.

It is an amenable number.

10331370920025 is a deficient number, since it is larger than the sum of its proper divisors (8173348684294).

10331370920025 is an frugal number, since it uses more digits than its factorization.

10331370920025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428582 (or 214291 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Multiplying 10331370920025 by its sum of digits (36), we get a square (371929353120900 = 19285470²).

The spelling of 10331370920025 in words is "ten trillion, three hundred thirty-one billion, three hundred seventy million, nine hundred twenty thousand, twenty-five".