506030615136 has 144 divisors (see below), whose sum is σ = 1447054697088. Its totient is φ = 167737651200.

The previous prime is 506030615081. The next prime is 506030615143. The reversal of 506030615136 is 631516030605.

506030615136 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 3 + 0 + 615 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 506030615136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52537041 + ... + 52546671.

It is an arithmetic number, because the mean of its divisors is an integer number (10048990952).

Almost surely, 2^506030615136 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 506030615136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723527348544).

506030615136 is an abundant number, since it is smaller than the sum of its proper divisors (941024081952).

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

506030615136 is a wasteful number, since it uses less digits than its factorization.

506030615136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645 (or 10634 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 506030615136 in words is "five hundred six billion, thirty million, six hundred fifteen thousand, one hundred thirty-six".