13539265792 has 54 divisors (see below), whose sum is σ = 29118976278. Its totient is φ = 6245793792.

The previous prime is 13539265787. The next prime is 13539265793. The reversal of 13539265792 is 29756293531.

It can be written as a sum of positive squares in 3 ways, for example, as 4057180416 + 9482085376 = 63696^2 + 97376^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13539265793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6711568 + ... + 6713584.

Almost surely, 2^13539265792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13539265792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559488139).

13539265792 is an abundant number, since it is smaller than the sum of its proper divisors (15579710486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13539265792 is an frugal number, since it uses more digits than its factorization.

13539265792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 2032 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 52.

Multiplying 13539265792 by its sum of digits (52), we get a square (704041821184 = 839072²).

13539265792 divided by its sum of digits (52) gives a square (260370496 = 16136²).

The spelling of 13539265792 in words is "thirteen billion, five hundred thirty-nine million, two hundred sixty-five thousand, seven hundred ninety-two".