506331520065441 has 80 divisors (see below), whose sum is σ = 916511953230720. Its totient is φ = 271944258301440.

The previous prime is 506331520065419. The next prime is 506331520065461. The reversal of 506331520065441 is 144560025133605.

It is a happy number.

506331520065441 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 31 + 520 + 0 + 6 + 54 + 41 = 666.

It is not a de Polignac number, because 506331520065441 - 2²³ = 506331511676833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506331520065461) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28417690 + ... + 42664131.

It is an arithmetic number, because the mean of its divisors is an integer number (11456399415384).

Almost surely, 2^{506331520065441} is an apocalyptic number.

506331520065441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

506331520065441 is a deficient number, since it is larger than the sum of its proper divisors (410180433165279).

506331520065441 is a wasteful number, since it uses less digits than its factorization.

506331520065441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71082596 (or 71082587 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 506331520065441 in words is "five hundred six trillion, three hundred thirty-one billion, five hundred twenty million, sixty-five thousand, four hundred forty-one".