506117411436576 has 48 divisors (see below), whose sum is σ = 1328908102792704. Its totient is φ = 168661372349184.

The previous prime is 506117411436547. The next prime is 506117411436577. The reversal of 506117411436576 is 675634114711605.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (506117411436577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693875200 + ... + 694604223.

It is an arithmetic number, because the mean of its divisors is an integer number (27685585474848).

Almost surely, 2^{506117411436576} is an apocalyptic number.

It is an amenable number.

506117411436576 is an abundant number, since it is smaller than the sum of its proper divisors (822790691356128).

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

506117411436576 is a wasteful number, since it uses less digits than its factorization.

506117411436576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388483233 (or 1388483225 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 506117411436576 in words is "five hundred six trillion, one hundred seventeen billion, four hundred eleven million, four hundred thirty-six thousand, five hundred seventy-six".