508640006238 has 128 divisors (see below), whose sum is σ = 1273571819520. Its totient is φ = 131843013120.

The previous prime is 508640006227. The next prime is 508640006243. The reversal of 508640006238 is 832600046805.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 508640006238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47588931 + ... + 47599617.

It is an arithmetic number, because the mean of its divisors is an integer number (9949779840).

Almost surely, 2^508640006238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508640006238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636785909760).

508640006238 is an abundant number, since it is smaller than the sum of its proper divisors (764931813282).

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

508640006238 is a wasteful number, since it uses less digits than its factorization.

508640006238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 508640006238 in words is "five hundred eight billion, six hundred forty million, six thousand, two hundred thirty-eight".