27150800625 has 105 divisors (see below), whose sum is σ = 53090473579. Its totient is φ = 13366548000.

The previous prime is 27150800603. The next prime is 27150800629. The reversal of 27150800625 is 52600805172.

It is a happy number.

The square root of 27150800625 is 164775.

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

27150800625 is a `hidden beast` number, since 27 + 1 + 5 + 0 + 8 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 17 ways, for example, as 10475727201 + 16675073424 = 102351^2 + 129132^2 .

It is not a de Polignac number, because 27150800625 - 2¹⁵ = 27150767857 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27150800625.

It is not an unprimeable number, because it can be changed into a prime (27150800629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2088523119 + ... + 2088523131.

Almost surely, 2^27150800625 is an apocalyptic number.

27150800625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27150800625 is the 164775-th square number.

27150800625 is the 82388-th centered octagonal number.

It is an amenable number.

27150800625 is a deficient number, since it is larger than the sum of its proper divisors (25939672954).

27150800625 is an frugal number, since it uses more digits than its factorization.

27150800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 27150800625 by its sum of digits (36), we get a square (977428822500 = 988650²).

The spelling of 27150800625 in words is "twenty-seven billion, one hundred fifty million, eight hundred thousand, six hundred twenty-five".