10179801025 has 27 divisors (see below), whose sum is σ = 13420464169. Its totient is φ = 7658334080.

The previous prime is 10179801013. The next prime is 10179801053. The reversal of 10179801025 is 52010897101.

It is a happy number.

The square root of 10179801025 is 100895.

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 238115761 + 9941685264 = 15431^2 + 99708^2 .

It is not a de Polignac number, because 10179801025 - 2⁵ = 10179800993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8575482 + ... + 8576668.

Almost surely, 2^10179801025 is an apocalyptic number.

10179801025 is the 100895-th square number.

10179801025 is the 50448-th centered octagonal number.

It is an amenable number.

10179801025 is a deficient number, since it is larger than the sum of its proper divisors (3240663144).

10179801025 is an frugal number, since it uses more digits than its factorization.

10179801025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 10179801025 in words is "ten billion, one hundred seventy-nine million, eight hundred one thousand, twenty-five".