506115951 has 16 divisors (see below), whose sum is σ = 759917568. Its totient is φ = 296841600.

The previous prime is 506115937. The next prime is 506115971. The reversal of 506115951 is 159511605.

It is not a de Polignac number, because 506115951 - 2¹⁰ = 506114927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506115971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246346 + ... + 248391.

It is an arithmetic number, because the mean of its divisors is an integer number (47494848).

Almost surely, 2^506115951 is an apocalyptic number.

506115951 is a deficient number, since it is larger than the sum of its proper divisors (253801617).

506115951 is a wasteful number, since it uses less digits than its factorization.

506115951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494782.

The product of its (nonzero) digits is 6750, while the sum is 33.

The square root of 506115951 is about 22497.0209361151. The cubic root of 506115951 is about 796.9235758286.

It can be divided in two parts, 5061 and 15951, that added together give a palindrome (21012).

The spelling of 506115951 in words is "five hundred six million, one hundred fifteen thousand, nine hundred fifty-one".