54815452129 has 9 divisors (see below), whose sum is σ = 55090043731. Its totient is φ = 54542225920.

The previous prime is 54815452063. The next prime is 54815452177. The reversal of 54815452129 is 92125451845.

It is a happy number.

The square root of 54815452129 is 234127.

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., 53965613025 + 849839104 = 232305^2 + 29152^2 .

It is a de Polignac number, because none of the positive numbers 2^k-54815452129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54815452229) 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 8 ways as a sum of consecutive naturals, for example, 60170184 + ... + 60171094.

Almost surely, 2^54815452129 is an apocalyptic number.

54815452129 is the 234127-th square number.

54815452129 is the 117064-th centered octagonal number.

It is an amenable number.

54815452129 is a deficient number, since it is larger than the sum of its proper divisors (274591602).

54815452129 is an frugal number, since it uses more digits than its factorization.

54815452129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 1168 counting only the distinct ones).

The product of its digits is 576000, while the sum is 46.

It can be divided in two parts, 54815 and 452129, that added together give a square (506944 = 712²).

The spelling of 54815452129 in words is "fifty-four billion, eight hundred fifteen million, four hundred fifty-two thousand, one hundred twenty-nine".