506137 has 8 divisors (see below), whose sum is σ = 541440. Its totient is φ = 472080.

The previous prime is 506131. The next prime is 506147. The reversal of 506137 is 731605.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 618 + ... + 1180.

It is an arithmetic number, because the mean of its divisors is an integer number (67680).

2⁵⁰⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

506137 is a deficient number, since it is larger than the sum of its proper divisors (35303).

506137 is a wasteful number, since it uses less digits than its factorization.

506137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 506137 is about 711.4330608005. The cubic root of 506137 is about 79.6934623502.

The spelling of 506137 in words is "five hundred six thousand, one hundred thirty-seven".