13034085575625 has 135 divisors (see below), whose sum is σ = 24197863402713. Its totient is φ = 6758434800000.

The previous prime is 13034085575611. The next prime is 13034085575633. The reversal of 13034085575625 is 52657558043031.

The square root of 13034085575625 is 3610275.

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

13034085575625 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 0 + 8 + 5 + 5 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 9180590942601 + 3853494633024 = 3029949^2 + 1963032^2 .

It is not a de Polignac number, because 13034085575625 - 2⁵ = 13034085575593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10018512475 + ... + 10018513775.

Almost surely, 2^{13034085575625} is an apocalyptic number.

13034085575625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13034085575625 is the 3610275-th square number.

13034085575625 is the 1805138-th centered octagonal number.

It is an amenable number.

13034085575625 is a deficient number, since it is larger than the sum of its proper divisors (11163777827088).

13034085575625 is an frugal number, since it uses more digits than its factorization.

13034085575625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 13034085575625 in words is "thirteen trillion, thirty-four billion, eighty-five million, five hundred seventy-five thousand, six hundred twenty-five".