2513718769 has 9 divisors (see below), whose sum is σ = 2536841601. Its totient is φ = 2490806160.

The previous prime is 2513718761. The next prime is 2513718773. The reversal of 2513718769 is 9678173152.

It is a happy number.

The square root of 2513718769 is 50137.

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 1864080625 + 649638144 = 43175^2 + 25488^2 .

It is not a de Polignac number, because 2513718769 - 2³ = 2513718761 is a prime.

It is a super-2 number, since 2×2513718769² = 12637564099245750722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2513718761) 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, 9074659 + ... + 9074935.

It is an arithmetic number, because the mean of its divisors is an integer number (281871289).

Almost surely, 2^2513718769 is an apocalyptic number.

2513718769 is the 50137-th square number.

2513718769 is the 25069-th centered octagonal number.

It is an amenable number.

2513718769 is a deficient number, since it is larger than the sum of its proper divisors (23122832).

2513718769 is an frugal number, since it uses more digits than its factorization.

2513718769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 458 counting only the distinct ones).

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

The cubic root of 2513718769 is about 1359.6868456104.

Multiplying 2513718769 by its sum of digits (49), we get a square (123172219681 = 350959²).

The spelling of 2513718769 in words is "two billion, five hundred thirteen million, seven hundred eighteen thousand, seven hundred sixty-nine".