506976567 has 8 divisors (see below), whose sum is σ = 715731696. Its totient is φ = 318102912.

The previous prime is 506976539. The next prime is 506976571. The reversal of 506976567 is 765679605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 506976567 - 2⁸ = 506976311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 9940717 = 506976567 / (5 + 0 + 6 + 9 + 7 + 6 + 5 + 6 + 7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506976467) 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 7 ways as a sum of consecutive naturals, for example, 4970308 + ... + 4970409.

It is an arithmetic number, because the mean of its divisors is an integer number (89466462).

Almost surely, 2^506976567 is an apocalyptic number.

506976567 is a deficient number, since it is larger than the sum of its proper divisors (208755129).

506976567 is a wasteful number, since it uses less digits than its factorization.

506976567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940737.

The product of its (nonzero) digits is 2381400, while the sum is 51.

The square root of 506976567 is about 22516.1401443498. The cubic root of 506976567 is about 797.3750249488.

The spelling of 506976567 in words is "five hundred six million, nine hundred seventy-six thousand, five hundred sixty-seven".