506241634410 has 96 divisors (see below), whose sum is σ = 1329620977152. Its totient is φ = 133624886400.

The previous prime is 506241634369. The next prime is 506241634421. The reversal of 506241634410 is 14436142605.

506241634410 is a `hidden beast` number, since 5 + 0 + 6 + 2 + 4 + 1 + 634 + 4 + 10 = 666.

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, 57871657 + ... + 57880403.

It is an arithmetic number, because the mean of its divisors is an integer number (13850218512).

Almost surely, 2^506241634410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506241634410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664810488576).

506241634410 is an abundant number, since it is smaller than the sum of its proper divisors (823379342742).

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

506241634410 is a wasteful number, since it uses less digits than its factorization.

506241634410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15228 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 506241634410 in words is "five hundred six billion, two hundred forty-one million, six hundred thirty-four thousand, four hundred ten".