6417318072561 has 32 divisors (see below), whose sum is σ = 9396207614976. Its totient is φ = 3863528280000.

The previous prime is 6417318072559. The next prime is 6417318072577. The reversal of 6417318072561 is 1652708137146.

It is a happy number.

It is not a de Polignac number, because 6417318072561 - 2¹ = 6417318072559 is a prime.

It is a super-2 number, since 2×6417318072561² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6417318072661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4825236 + ... + 6009786.

It is an arithmetic number, because the mean of its divisors is an integer number (293631487968).

Almost surely, 2^{6417318072561} is an apocalyptic number.

It is an amenable number.

6417318072561 is a deficient number, since it is larger than the sum of its proper divisors (2978889542415).

6417318072561 is a wasteful number, since it uses less digits than its factorization.

6417318072561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185653.

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 6417318072561 in words is "six trillion, four hundred seventeen billion, three hundred eighteen million, seventy-two thousand, five hundred sixty-one".