505072721133 has 10 divisors (see below), whose sum is σ = 754491348974. Its totient is φ = 336715147368.

The previous prime is 505072721107. The next prime is 505072721177. The reversal of 505072721133 is 331127270505.

It is a happy number.

505072721133 is a `hidden beast` number, since 50 + 507 + 2 + 72 + 1 + 1 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338214359844 + 166858361289 = 581562^2 + 408483^2 .

It is not a de Polignac number, because 505072721133 - 2²⁵ = 505039166701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505072721183) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3117732766 + ... + 3117732927.

Almost surely, 2^505072721133 is an apocalyptic number.

It is an amenable number.

505072721133 is a deficient number, since it is larger than the sum of its proper divisors (249418627841).

505072721133 is an equidigital number, since it uses as much as digits as its factorization.

505072721133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235465705 (or 6235465696 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

Adding to 505072721133 its reverse (331127270505), we get a palindrome (836199991638).

The spelling of 505072721133 in words is "five hundred five billion, seventy-two million, seven hundred twenty-one thousand, one hundred thirty-three".