617661505001 has 2 divisors, whose sum is σ = 617661505002. Its totient is φ = 617661505000.

The previous prime is 617661504983. The next prime is 617661505063. The reversal of 617661505001 is 100505166716.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 342745848025 + 274915656976 = 585445^2 + 524324^2 .

It is a cyclic number.

It is not a de Polignac number, because 617661505001 - 2⁶ = 617661504937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (617661505501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308830752500 + 308830752501.

It is an arithmetic number, because the mean of its divisors is an integer number (308830752501).

Almost surely, 2^617661505001 is an apocalyptic number.

It is an amenable number.

617661505001 is a deficient number, since it is larger than the sum of its proper divisors (1).

617661505001 is an equidigital number, since it uses as much as digits as its factorization.

617661505001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 617661505001 in words is "six hundred seventeen billion, six hundred sixty-one million, five hundred five thousand, one".