13088504025 has 81 divisors (see below), whose sum is σ = 24371885629. Its totient is φ = 6714200640.

The previous prime is 13088503999. The next prime is 13088504057. The reversal of 13088504025 is 52040588031.

It is a happy number.

The square root of 13088504025 is 114405.

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 179908569 + 12908595456 = 13413^2 + 113616^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13088504025 is a prime.

It is a super-3 number, since 3×13088504025³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49766044 + ... + 49766306.

Almost surely, 2^13088504025 is an apocalyptic number.

13088504025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13088504025 is the 114405-th square number.

13088504025 is the 57203-rd centered octagonal number.

It is an amenable number.

13088504025 is a deficient number, since it is larger than the sum of its proper divisors (11283381604).

13088504025 is an equidigital number, since it uses as much as digits as its factorization.

13088504025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 13088504025 by its sum of digits (36), we get a square (471186144900 = 686430²).

The spelling of 13088504025 in words is "thirteen billion, eighty-eight million, five hundred four thousand, twenty-five".