55625694201 has 81 divisors (see below), whose sum is σ = 102836409039. Its totient is φ = 28868162400.

The previous prime is 55625694199. The next prime is 55625694211. The reversal of 55625694201 is 10249652655.

The square root of 55625694201 is 235851.

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

55625694201 is a `hidden beast` number, since 5 + 5 + 62 + 569 + 4 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32381642601 + 23244051600 = 179949^2 + 152460^2 .

It is not a de Polignac number, because 55625694201 - 2¹ = 55625694199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55625694211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54481071 + ... + 54482091.

Almost surely, 2^55625694201 is an apocalyptic number.

55625694201 is the 235851-st square number.

55625694201 is the 117926-th centered octagonal number.

It is an amenable number.

55625694201 is a deficient number, since it is larger than the sum of its proper divisors (47210714838).

55625694201 is a wasteful number, since it uses less digits than its factorization.

55625694201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55625694201 in words is "fifty-five billion, six hundred twenty-five million, six hundred ninety-four thousand, two hundred one".