506135791 has 32 divisors (see below), whose sum is σ = 613785600. Its totient is φ = 408291840.

The previous prime is 506135789. The next prime is 506135837. The reversal of 506135791 is 197531605.

It is a cyclic number.

It is not a de Polignac number, because 506135791 - 2¹ = 506135789 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 506135791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506135191) 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, 1409670 + ... + 1410028.

It is an arithmetic number, because the mean of its divisors is an integer number (19180800).

Almost surely, 2^506135791 is an apocalyptic number.

506135791 is a deficient number, since it is larger than the sum of its proper divisors (107649809).

506135791 is a wasteful number, since it uses less digits than its factorization.

506135791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559.

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 506135791 is about 22497.4618790654. The cubic root of 506135791 is about 796.9339889609.

The spelling of 506135791 in words is "five hundred six million, one hundred thirty-five thousand, seven hundred ninety-one".