6517261634345 has 64 divisors (see below), whose sum is σ = 10095417815040. Its totient is φ = 3919234502400.

The previous prime is 6517261634333. The next prime is 6517261634347. The reversal of 6517261634345 is 5434361627156.

It is a happy number.

It is not a de Polignac number, because 6517261634345 - 2⁶ = 6517261634281 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (6517261634347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12733940 + ... + 13235850.

It is an arithmetic number, because the mean of its divisors is an integer number (157740903360).

Almost surely, 2^{6517261634345} is an apocalyptic number.

It is an amenable number.

6517261634345 is a deficient number, since it is larger than the sum of its proper divisors (3578156180695).

6517261634345 is a wasteful number, since it uses less digits than its factorization.

6517261634345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503126.

The product of its digits is 10886400, while the sum is 53.

The spelling of 6517261634345 in words is "six trillion, five hundred seventeen billion, two hundred sixty-one million, six hundred thirty-four thousand, three hundred forty-five".