505364124033 has 16 divisors (see below), whose sum is σ = 748740983040. Its totient is φ = 336885389712.

The previous prime is 505364123983. The next prime is 505364124049. The reversal of 505364124033 is 330421463505.

505364124033 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 641 + 2 + 4 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 505364124033 - 2²⁶ = 505297015169 is a prime.

It is a super-3 number, since 3×505364124033³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (505364124053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277641 + ... + 1042982.

It is an arithmetic number, because the mean of its divisors is an integer number (46796311440).

Almost surely, 2^505364124033 is an apocalyptic number.

It is an amenable number.

505364124033 is a deficient number, since it is larger than the sum of its proper divisors (243376859007).

505364124033 is a wasteful number, since it uses less digits than its factorization.

505364124033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334805 (or 1334799 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 505364124033 its reverse (330421463505), we get a palindrome (835785587538).

The spelling of 505364124033 in words is "five hundred five billion, three hundred sixty-four million, one hundred twenty-four thousand, thirty-three".