53813328529 has 9 divisors (see below), whose sum is σ = 54102755793. Its totient is φ = 53525445072.

The previous prime is 53813328497. The next prime is 53813328553. The reversal of 53813328529 is 92582331835.

The square root of 53813328529 is 231977.

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 2578100625 + 51235227904 = 50775^2 + 226352^2 .

It is not a de Polignac number, because 53813328529 - 2⁵ = 53813328497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53813320529) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53122227 + ... + 53123239.

Almost surely, 2^53813328529 is an apocalyptic number.

53813328529 is the 231977-th square number.

53813328529 is the 115989-th centered octagonal number.

It is an amenable number.

53813328529 is a deficient number, since it is larger than the sum of its proper divisors (289427264).

53813328529 is an frugal number, since it uses more digits than its factorization.

53813328529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 1242 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 49.

Multiplying 53813328529 by its sum of digits (49), we get a square (2636853097921 = 1623839²).

The spelling of 53813328529 in words is "fifty-three billion, eight hundred thirteen million, three hundred twenty-eight thousand, five hundred twenty-nine".