506341507 has 32 divisors (see below), whose sum is σ = 634388480. Its totient is φ = 394359840.

The previous prime is 506341499. The next prime is 506341519. The reversal of 506341507 is 705143605.

It is not a de Polignac number, because 506341507 - 2³ = 506341499 is a prime.

It is a super-2 number, since 2×506341507² = 512763443422062098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506341597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523138 + ... + 524104.

It is an arithmetic number, because the mean of its divisors is an integer number (19824640).

Almost surely, 2^506341507 is an apocalyptic number.

506341507 is the 18373-rd pentagonal number.

506341507 is a deficient number, since it is larger than the sum of its proper divisors (128046973).

506341507 is a wasteful number, since it uses less digits than its factorization.

506341507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 506341507 is about 22502.0333970066. The cubic root of 506341507 is about 797.0419440916.

The spelling of 506341507 in words is "five hundred six million, three hundred forty-one thousand, five hundred seven".