5213218123125 has 30 divisors (see below), whose sum is σ = 9409742873102. Its totient is φ = 2780382996000.

The previous prime is 5213218123117. The next prime is 5213218123229.

5213218123125 is a `hidden beast` number, since 5 + 2 + 1 + 321 + 8 + 12 + 312 + 5 = 666.

5213218123125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 5 ways, for example, as 842266898001 + 4370951225124 = 917751^2 + 2090682^2 .

It is not a de Polignac number, because 5213218123125 - 2³ = 5213218123117 is a prime.

It is a super-5 number, since 5×5213218123125⁵ (a number of 65 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5213218123125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 463391542 + ... + 463402791.

Almost surely, 2^{5213218123125} is an apocalyptic number.

It is an amenable number.

5213218123125 is a deficient number, since it is larger than the sum of its proper divisors (4196524749977).

5213218123125 is an equidigital number, since it uses as much as digits as its factorization.

5213218123125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926794359 (or 926794341 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 5213218123125 in words is "five trillion, two hundred thirteen billion, two hundred eighteen million, one hundred twenty-three thousand, one hundred twenty-five".