10193931225 has 81 divisors (see below), whose sum is σ = 18757147773. Its totient is φ = 5292181440.

The previous prime is 10193931197. The next prime is 10193931227. The reversal of 10193931225 is 52213939101.

The square root of 10193931225 is 100965.

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 76790169 + 10117141056 = 8763^2 + 100584^2 .

It is not a de Polignac number, because 10193931225 - 2⁵ = 10193931193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10193931225.

It is not an unprimeable number, because it can be changed into a prime (10193931227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80267112 + ... + 80267238.

Almost surely, 2^10193931225 is an apocalyptic number.

10193931225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10193931225 is the 100965-th square number.

10193931225 is the 50483-rd centered octagonal number.

It is an amenable number.

10193931225 is a deficient number, since it is larger than the sum of its proper divisors (8563216548).

10193931225 is an equidigital number, since it uses as much as digits as its factorization.

10193931225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Multiplying 10193931225 by its sum of digits (36), we get a square (366981524100 = 605790²).

The spelling of 10193931225 in words is "ten billion, one hundred ninety-three million, nine hundred thirty-one thousand, two hundred twenty-five".