13953515625 has 189 divisors, whose sum is σ = 30420394581. Its totient is φ = 6378750000.

The previous prime is 13953515581. The next prime is 13953515633. The reversal of 13953515625 is 52651535931.

The square root of 13953515625 is 118125.

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

13953515625 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 3 + 5 + 15 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9920757609 + 4032758016 = 99603^2 + 63504^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 13953515625 - 2¹¹ = 13953513577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (607500) is a multiple of the sum of its prime divisors (15).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1993359372 + ... + 1993359378.

Almost surely, 2^13953515625 is an apocalyptic number.

13953515625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13953515625 is the 118125-th square number.

13953515625 is the 59063-rd centered octagonal number.

It is an amenable number.

13953515625 is an abundant number, since it is smaller than the sum of its proper divisors (16466878956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13953515625 is an frugal number, since it uses more digits than its factorization.

13953515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 15 counting only the distinct ones).

The product of its digits is 607500, while the sum is 45.

The spelling of 13953515625 in words is "thirteen billion, nine hundred fifty-three million, five hundred fifteen thousand, six hundred twenty-five".