13775012689 has 9 divisors (see below), whose sum is σ = 13860869211. Its totient is φ = 13689686880.

The previous prime is 13775012687. The next prime is 13775012737. The reversal of 13775012689 is 98621057731.

It is a happy number.

The square root of 13775012689 is 117367.

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., 10359779089 + 3415233600 = 101783^2 + 58440^2 .

It is not a de Polignac number, because 13775012689 - 2¹ = 13775012687 is a prime.

It is a super-2 number, since 2×13775012689² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13775012687) 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, 28285204 + ... + 28285690.

It is an arithmetic number, because the mean of its divisors is an integer number (1540096579).

Almost surely, 2^13775012689 is an apocalyptic number.

13775012689 is the 117367-th square number.

13775012689 is the 58684-th centered octagonal number.

It is an amenable number.

13775012689 is a deficient number, since it is larger than the sum of its proper divisors (85856522).

13775012689 is an frugal number, since it uses more digits than its factorization.

13775012689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 13775012689 by its sum of digits (49), we get a square (674975621761 = 821569²).

The spelling of 13775012689 in words is "thirteen billion, seven hundred seventy-five million, twelve thousand, six hundred eighty-nine".