3123213525504 has 60 divisors (see below), whose sum is σ = 9013805715486. Its totient is φ = 1041071173632.

The previous prime is 3123213525479. The next prime is 3123213525517. The reversal of 3123213525504 is 4055253123213.

3123213525504 is a `hidden beast` number, since 3 + 12 + 3 + 2 + 135 + 2 + 5 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1884711631104 + 1238501894400 = 1372848^2 + 1112880^2 .

It is a super-3 number, since 3×3123213525504³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 338885749 + ... + 338894964.

Almost surely, 2^{3123213525504} is an apocalyptic number.

It is an amenable number.

3123213525504 is an abundant number, since it is smaller than the sum of its proper divisors (5890592189982).

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

3123213525504 is an equidigital number, since it uses as much as digits as its factorization.

3123213525504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677780737 (or 677780718 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 3123213525504 its reverse (4055253123213), we get a palindrome (7178466648717).

The spelling of 3123213525504 in words is "three trillion, one hundred twenty-three billion, two hundred thirteen million, five hundred twenty-five thousand, five hundred four".