13765155625 has 75 divisors (see below), whose sum is σ = 19660630803. Its totient is φ = 9630036000.

The previous prime is 13765155619. The next prime is 13765155641. The reversal of 13765155625 is 52655156731.

It is a happy number.

The square root of 13765155625 is 117325.

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 13596259609 + 168896016 = 116603^2 + 12996^2 .

It is not a de Polignac number, because 13765155625 - 2⁹ = 13765155113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 724481866 + ... + 724481884.

Almost surely, 2^13765155625 is an apocalyptic number.

13765155625 is the 117325-th square number.

13765155625 is the 58663-rd centered octagonal number.

It is an amenable number.

13765155625 is a deficient number, since it is larger than the sum of its proper divisors (5895475178).

13765155625 is an frugal number, since it uses more digits than its factorization.

13765155625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 37 counting only the distinct ones).

The product of its digits is 945000, while the sum is 46.

The spelling of 13765155625 in words is "thirteen billion, seven hundred sixty-five million, one hundred fifty-five thousand, six hundred twenty-five".