67613000625 has 45 divisors (see below), whose sum is σ = 122075174221. Its totient is φ = 36049866000.

The previous prime is 67613000603. The next prime is 67613000641. The reversal of 67613000625 is 52600031676.

The square root of 67613000625 is 260025.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5300859249 + 62312141376 = 72807^2 + 249624^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 67613000625 - 2²³ = 67604612017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67613000625.

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 44 ways as a sum of consecutive naturals, for example, 19500142 + ... + 19503608.

Almost surely, 2^67613000625 is an apocalyptic number.

67613000625 is the 260025-th square number.

67613000625 is the 130013-rd centered octagonal number.

It is an amenable number.

67613000625 is a deficient number, since it is larger than the sum of its proper divisors (54462173596).

67613000625 is an frugal number, since it uses more digits than its factorization.

67613000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 67613000625 by its sum of digits (36), we get a square (2434068022500 = 1560150²).

The spelling of 67613000625 in words is "sixty-seven billion, six hundred thirteen million, six hundred twenty-five", and thus it is an aban number.