10315449225 has 135 divisors (see below), whose sum is σ = 19965376431. Its totient is φ = 5265129600.

The previous prime is 10315449223. The next prime is 10315449251. The reversal of 10315449225 is 52294451301.

The square root of 10315449225 is 101565.

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

10315449225 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 544 + 92 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 7991823609 + 2323625616 = 89397^2 + 48204^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 10315449225 - 2¹ = 10315449223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10315449225.

It is not an unprimeable number, because it can be changed into a prime (10315449223) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 169105695 + ... + 169105755.

Almost surely, 2^10315449225 is an apocalyptic number.

10315449225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10315449225 is the 101565-th square number.

10315449225 is the 50783-rd centered octagonal number.

It is an amenable number.

10315449225 is a deficient number, since it is larger than the sum of its proper divisors (9649927206).

10315449225 is an frugal number, since it uses more digits than its factorization.

10315449225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 10315449225 by its sum of digits (36), we get a square (371356172100 = 609390²).

The spelling of 10315449225 in words is "ten billion, three hundred fifteen million, four hundred forty-nine thousand, two hundred twenty-five".