13788630625 has 135 divisors (see below), whose sum is σ = 22398238863. Its totient is φ = 8454600000.

The previous prime is 13788630601. The next prime is 13788630671. The reversal of 13788630625 is 52603688731.

The square root of 13788630625 is 117425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 13644342481 + 144288144 = 116809^2 + 12012^2 .

It is not a de Polignac number, because 13788630625 - 2¹³ = 13788622433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 226043095 + ... + 226043155.

Almost surely, 2^13788630625 is an apocalyptic number.

13788630625 is the 117425-th square number.

13788630625 is the 58713-rd centered octagonal number.

It is an amenable number.

13788630625 is a deficient number, since it is larger than the sum of its proper divisors (8609608238).

13788630625 is an frugal number, since it uses more digits than its factorization.

13788630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 13788630625 by its sum of digits (49), we get a square (675642900625 = 821975²).

13788630625 divided by its sum of digits (49) gives a square (281400625 = 16775²).

The spelling of 13788630625 in words is "thirteen billion, seven hundred eighty-eight million, six hundred thirty thousand, six hundred twenty-five".