617002561 has 24 divisors (see below), whose sum is σ = 765168000. Its totient is φ = 494623584.

The previous prime is 617002537. The next prime is 617002583. The reversal of 617002561 is 165200716.

It is not a de Polignac number, because 617002561 - 2⁹ = 617002049 is a prime.

It is a super-4 number, since 4×617002561⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (617002501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69355 + ... + 77743.

It is an arithmetic number, because the mean of its divisors is an integer number (31882000).

Almost surely, 2^617002561 is an apocalyptic number.

It is an amenable number.

617002561 is a deficient number, since it is larger than the sum of its proper divisors (148165439).

617002561 is a wasteful number, since it uses less digits than its factorization.

617002561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 617002561 is about 24839.5362476839. The cubic root of 617002561 is about 851.3255263068.

It can be divided in two parts, 61700 and 2561, that added together give a triangular number (64261 = T₃₅₈).

The spelling of 617002561 in words is "six hundred seventeen million, two thousand, five hundred sixty-one".