7413765089329 has 9 divisors (see below), whose sum is σ = 7660720656939. Its totient is φ = 7174529692080.

The previous prime is 7413765089309. The next prime is 7413765089347. The reversal of 7413765089329 is 9239805673147.

The square root of 7413765089329 is 2722823.

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., 5029680863025 + 2384084226304 = 2242695^2 + 1544048^2 .

It is not a de Polignac number, because 7413765089329 - 2³³ = 7405175154737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7413765089309) 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, 84363597 + ... + 84451429.

It is a 1-persistent number, because it is pandigital, but 2⋅7413765089329 = 14827530178658 is not.

Almost surely, 2^{7413765089329} is an apocalyptic number.

7413765089329 is the 2722823-rd square number.

7413765089329 is the 1361412-nd centered octagonal number.

It is an amenable number.

7413765089329 is a deficient number, since it is larger than the sum of its proper divisors (246955567610).

7413765089329 is an frugal number, since it uses more digits than its factorization.

7413765089329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175728 (or 87864 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

Multiplying 7413765089329 by its sum of digits (64), we get a square (474480965717056 = 21782584²).

The spelling of 7413765089329 in words is "seven trillion, four hundred thirteen billion, seven hundred sixty-five million, eighty-nine thousand, three hundred twenty-nine".