506321536077 has 36 divisors (see below), whose sum is σ = 880094458620. Its totient is φ = 279349805952.

The previous prime is 506321535919. The next prime is 506321536153. The reversal of 506321536077 is 770635123605.

506321536077 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 215 + 360 + 77 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 352668511881 + 153653024196 = 593859^2 + 391986^2 .

It is not a de Polignac number, because 506321536077 - 2²⁰ = 506320487501 is a prime.

It is a super-2 number, since 2×506321536077² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506321536577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19782408 + ... + 19807985.

It is an arithmetic number, because the mean of its divisors is an integer number (24447068295).

Almost surely, 2^506321536077 is an apocalyptic number.

It is an amenable number.

506321536077 is a deficient number, since it is larger than the sum of its proper divisors (373772922543).

506321536077 is a wasteful number, since it uses less digits than its factorization.

506321536077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39590442 (or 39590432 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 506321536077 in words is "five hundred six billion, three hundred twenty-one million, five hundred thirty-six thousand, seventy-seven".