506015356 has 144 divisors (see below), whose sum is σ = 1187730432. Its totient is φ = 186278400.

The previous prime is 506015339. The next prime is 506015369. The reversal of 506015356 is 653510605.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4477956 + ... + 4478068.

It is an arithmetic number, because the mean of its divisors is an integer number (8248128).

Almost surely, 2^506015356 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 506015356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593865216).

506015356 is an abundant number, since it is smaller than the sum of its proper divisors (681715076).

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

506015356 is a wasteful number, since it uses less digits than its factorization.

506015356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 506015356 is about 22494.7850845479. The cubic root of 506015356 is about 796.8707738051.

The spelling of 506015356 in words is "five hundred six million, fifteen thousand, three hundred fifty-six".