506577489 has 16 divisors (see below), whose sum is σ = 748922304. Its totient is φ = 301982400.

The previous prime is 506577457. The next prime is 506577493. The reversal of 506577489 is 984775605.

It is not a de Polignac number, because 506577489 - 2⁵ = 506577457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506577499) 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 15 ways as a sum of consecutive naturals, for example, 123814 + ... + 127839.

It is an arithmetic number, because the mean of its divisors is an integer number (46807644).

Almost surely, 2^506577489 is an apocalyptic number.

It is an amenable number.

506577489 is a deficient number, since it is larger than the sum of its proper divisors (242344815).

506577489 is a wasteful number, since it uses less digits than its factorization.

506577489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251728.

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 506577489 is about 22507.2763567696. The cubic root of 506577489 is about 797.1657461352.

The spelling of 506577489 in words is "five hundred six million, five hundred seventy-seven thousand, four hundred eighty-nine".