506105697344 has 28 divisors (see below), whose sum is σ = 1081557609804. Its totient is φ = 233587244544.

The previous prime is 506105697329. The next prime is 506105697367. The reversal of 506105697344 is 443796501605.

It can be written as a sum of positive squares in 2 ways, for example, as 205898137600 + 300207559744 = 453760^2 + 547912^2 .

It is a super-2 number, since 2×506105697344² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506105697292 and 506105697301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 304149227 + ... + 304150890.

It is an arithmetic number, because the mean of its divisors is an integer number (38627057493).

Almost surely, 2^506105697344 is an apocalyptic number.

It is an amenable number.

506105697344 is an abundant number, since it is smaller than the sum of its proper divisors (575451912460).

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

506105697344 is a wasteful number, since it uses less digits than its factorization.

506105697344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608300142 (or 608300132 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 506105697344 in words is "five hundred six billion, one hundred five million, six hundred ninety-seven thousand, three hundred forty-four".