55752129 has 12 divisors (see below), whose sum is σ = 85268196. Its totient is φ = 34981632.

The previous prime is 55752127. The next prime is 55752139. The reversal of 55752129 is 92125755.

55752129 is digitally balanced in base 2, 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 2 ways, for example, as 51151104 + 4601025 = 7152^2 + 2145^2 .

It is not a de Polignac number, because 55752129 - 2¹ = 55752127 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 55752093 and 55752102.

It is not an unprimeable number, because it can be changed into a prime (55752127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182044 + ... + 182349.

It is an arithmetic number, because the mean of its divisors is an integer number (7105683).

Almost surely, 2^55752129 is an apocalyptic number.

It is an amenable number.

55752129 is a deficient number, since it is larger than the sum of its proper divisors (29516067).

55752129 is a wasteful number, since it uses less digits than its factorization.

55752129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364416 (or 364413 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 55752129 is about 7466.7348285579. The cubic root of 55752129 is about 382.0209252720.

The spelling of 55752129 in words is "fifty-five million, seven hundred fifty-two thousand, one hundred twenty-nine".