617341775521 has 9 divisors (see below), whose sum is σ = 619042793331. Its totient is φ = 615645425472.

The previous prime is 617341775483. The next prime is 617341775569. The reversal of 617341775521 is 125577143716.

The square root of 617341775521 is 785711.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 594279101025 + 23062674496 = 770895^2 + 151864^2 .

It is a de Polignac number, because none of the positive numbers 2^k-617341775521 is a prime.

It is a super-2 number, since 2×617341775521² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (617341776521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 363783345 + ... + 363785041.

Almost surely, 2^617341775521 is an apocalyptic number.

617341775521 is the 785711-st square number.

617341775521 is the 392856-th centered octagonal number.

It is an amenable number.

617341775521 is a deficient number, since it is larger than the sum of its proper divisors (1701017810).

617341775521 is an frugal number, since it uses more digits than its factorization.

617341775521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 2160 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 49.

Multiplying 617341775521 by its sum of digits (49), we get a square (30249747000529 = 5499977²).

The spelling of 617341775521 in words is "six hundred seventeen billion, three hundred forty-one million, seven hundred seventy-five thousand, five hundred twenty-one".