506915136 has 336 divisors, whose sum is σ = 1886102400. Its totient is φ = 126406656.

The previous prime is 506915107. The next prime is 506915137. The reversal of 506915136 is 631519605.

506915136 is a `hidden beast` number, since 50 + 6 + 91 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 506915136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506915137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995650 + ... + 996158.

It is an arithmetic number, because the mean of its divisors is an integer number (5613400).

Almost surely, 2^506915136 is an apocalyptic number.

506915136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943051200).

506915136 is an abundant number, since it is smaller than the sum of its proper divisors (1379187264).

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

506915136 is a wasteful number, since it uses less digits than its factorization.

506915136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 506915136 is about 22514.7759482523. The cubic root of 506915136 is about 797.3428173302.

The spelling of 506915136 in words is "five hundred six million, nine hundred fifteen thousand, one hundred thirty-six".