55636072129 has 27 divisors (see below), whose sum is σ = 62801711427. Its totient is φ = 49250282400.

The previous prime is 55636072127. The next prime is 55636072139. The reversal of 55636072129 is 92127063655.

The square root of 55636072129 is 235873.

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

It can be written as a sum of positive squares in only one way, i.e., 2680857729 + 52955214400 = 51777^2 + 230120^2 .

It is not a de Polignac number, because 55636072129 - 2¹ = 55636072127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55636072123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106378462 + ... + 106378984.

Almost surely, 2^55636072129 is an apocalyptic number.

55636072129 is the 235873-rd square number.

55636072129 is the 117937-th centered octagonal number.

It is an amenable number.

55636072129 is a deficient number, since it is larger than the sum of its proper divisors (7165639298).

55636072129 is an frugal number, since it uses more digits than its factorization.

55636072129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 55636072129 in words is "fifty-five billion, six hundred thirty-six million, seventy-two thousand, one hundred twenty-nine".