2613695216769 has 128 divisors (see below), whose sum is σ = 5153414676480. Its totient is φ = 1269946708992.

The previous prime is 2613695216681. The next prime is 2613695216773. The reversal of 2613695216769 is 9676125963162.

2613695216769 is a `hidden beast` number, since 2 + 6 + 1 + 36 + 9 + 521 + 6 + 76 + 9 = 666.

It is not a de Polignac number, because 2613695216769 - 2⁸ = 2613695216513 is a prime.

It is a super-2 number, since 2×2613695216769² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2613695216789) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1297452 + ... + 2628834.

It is an arithmetic number, because the mean of its divisors is an integer number (40261052160).

Almost surely, 2^{2613695216769} is an apocalyptic number.

It is an amenable number.

2613695216769 is a deficient number, since it is larger than the sum of its proper divisors (2539719459711).

2613695216769 is a wasteful number, since it uses less digits than its factorization.

2613695216769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331476 (or 1331470 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 2613695216769 in words is "two trillion, six hundred thirteen billion, six hundred ninety-five million, two hundred sixteen thousand, seven hundred sixty-nine".