506010561 has 32 divisors (see below), whose sum is σ = 793497600. Its totient is φ = 280801920.

The previous prime is 506010521. The next prime is 506010587. The reversal of 506010561 is 165010605.

It is a de Polignac number, because none of the positive numbers 2^k-506010561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506010521) 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, 204550 + ... + 207008.

It is an arithmetic number, because the mean of its divisors is an integer number (24796800).

Almost surely, 2^506010561 is an apocalyptic number.

It is an amenable number.

506010561 is a deficient number, since it is larger than the sum of its proper divisors (287487039).

506010561 is a wasteful number, since it uses less digits than its factorization.

506010561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 506010561 is about 22494.6785040373. The cubic root of 506010561 is about 796.8682567488.

The spelling of 506010561 in words is "five hundred six million, ten thousand, five hundred sixty-one".