53535316129 has 9 divisors (see below), whose sum is σ = 53762328921. Its totient is φ = 53309260800.

The previous prime is 53535316103. The next prime is 53535316141. The reversal of 53535316129 is 92161353535.

The square root of 53535316129 is 231377.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51758525025 + 1776791104 = 227505^2 + 42152^2 .

It is not a de Polignac number, because 53535316129 - 2¹⁹ = 53534791841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53535316229) 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, 92781889 + ... + 92782465.

Almost surely, 2^53535316129 is an apocalyptic number.

53535316129 is the 231377-th square number.

53535316129 is the 115689-th centered octagonal number.

It is an amenable number.

53535316129 is a deficient number, since it is larger than the sum of its proper divisors (227012792).

53535316129 is an frugal number, since it uses more digits than its factorization.

53535316129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 978 counting only the distinct ones).

The product of its digits is 364500, while the sum is 43.

It can be divided in two parts, 53535 and 316129, that added together give a square (369664 = 608²).

The spelling of 53535316129 in words is "fifty-three billion, five hundred thirty-five million, three hundred sixteen thousand, one hundred twenty-nine".