506761591 has 16 divisors (see below), whose sum is σ = 583504128. Its totient is φ = 431121600.

The previous prime is 506761531. The next prime is 506761603. The reversal of 506761591 is 195167605.

It is not a de Polignac number, because 506761591 - 2¹⁵ = 506728823 is a prime.

It is a super-2 number, since 2×506761591² = 513614620225702562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506761511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972411 + ... + 972931.

It is an arithmetic number, because the mean of its divisors is an integer number (36469008).

Almost surely, 2^506761591 is an apocalyptic number.

506761591 is a deficient number, since it is larger than the sum of its proper divisors (76742537).

506761591 is a wasteful number, since it uses less digits than its factorization.

506761591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302.

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 506761591 is about 22511.3658181817. The cubic root of 506761591 is about 797.2623039415.

The spelling of 506761591 in words is "five hundred six million, seven hundred sixty-one thousand, five hundred ninety-one".