5535079655625 has 405 divisors, whose sum is σ = 11508291592083. Its totient is φ = 2561216112000.

The previous prime is 5535079655597. The next prime is 5535079655647. The reversal of 5535079655625 is 5265569705355.

It is a happy number.

The square root of 5535079655625 is 2352675.

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

5535079655625 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 0 + 7 + 9 + 65 + 562 + 5 = 666.

5535079655625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 5467165210809 + 67914444816 = 2338197^2 + 260604^2 .

It is not a de Polignac number, because 5535079655625 - 2²⁹ = 5534542784713 is a prime.

It is a super-2 number, since 2×5535079655625² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 43583304312 + ... + 43583304438.

Almost surely, 2^{5535079655625} is an apocalyptic number.

5535079655625 is the 2352675-th square number.

5535079655625 is the 1176338-th centered octagonal number.

It is an amenable number.

5535079655625 is an abundant number, since it is smaller than the sum of its proper divisors (5973211936458).

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

5535079655625 is a wasteful number, since it uses less digits than its factorization.

5535079655625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 212625000, while the sum is 63.

The spelling of 5535079655625 in words is "five trillion, five hundred thirty-five billion, seventy-nine million, six hundred fifty-five thousand, six hundred twenty-five".