506615361 has 48 divisors (see below), whose sum is σ = 819486720. Its totient is φ = 277270560.

The previous prime is 506615357. The next prime is 506615377. The reversal of 506615361 is 163516605.

It is not a de Polignac number, because 506615361 - 2² = 506615357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506615261) 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 47 ways as a sum of consecutive naturals, for example, 487080 + ... + 488118.

It is an arithmetic number, because the mean of its divisors is an integer number (17072640).

Almost surely, 2^506615361 is an apocalyptic number.

It is an amenable number.

506615361 is a deficient number, since it is larger than the sum of its proper divisors (312871359).

506615361 is a wasteful number, since it uses less digits than its factorization.

506615361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 506615361 is about 22508.1176689656. The cubic root of 506615361 is about 797.1856111506.

The spelling of 506615361 in words is "five hundred six million, six hundred fifteen thousand, three hundred sixty-one".