506675136 has 112 divisors (see below), whose sum is σ = 1474744320. Its totient is φ = 152248320.

The previous prime is 506675101. The next prime is 506675159. The reversal of 506675136 is 631576605.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 506675094 and 506675103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267280 + ... + 269168.

It is an arithmetic number, because the mean of its divisors is an integer number (13167360).

Almost surely, 2^506675136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

506675136 is an abundant number, since it is smaller than the sum of its proper divisors (968069184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506675136 is a wasteful number, since it uses less digits than its factorization.

506675136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 506675136 is about 22509.4454840629. The cubic root of 506675136 is about 797.2169629410.

The spelling of 506675136 in words is "five hundred six million, six hundred seventy-five thousand, one hundred thirty-six".