13283715025 has 81 divisors (see below), whose sum is σ = 19916699859. Its totient is φ = 8763068160.

The previous prime is 13283715013. The next prime is 13283715061. The reversal of 13283715025 is 52051738231.

The square root of 13283715025 is 115255.

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 6888834001 + 6394881024 = 82999^2 + 79968^2 .

It is not a de Polignac number, because 13283715025 - 2⁵ = 13283714993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 80 ways as a sum of consecutive naturals, for example, 149255181 + ... + 149255269.

Almost surely, 2^13283715025 is an apocalyptic number.

13283715025 is the 115255-th square number.

13283715025 is the 57628-th centered octagonal number.

It is an amenable number.

13283715025 is a deficient number, since it is larger than the sum of its proper divisors (6632984834).

13283715025 is an frugal number, since it uses more digits than its factorization.

13283715025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 13283715025 in words is "thirteen billion, two hundred eighty-three million, seven hundred fifteen thousand, twenty-five".