5214044404125 has 96 divisors (see below), whose sum is σ = 9725233845600. Its totient is φ = 2684397542400.

The previous prime is 5214044404081. The next prime is 5214044404133.

5214044404125 is a `hidden beast` number, since 52 + 1 + 40 + 4 + 440 + 4 + 125 = 666.

5214044404125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 4077063642276 + 1136980761849 = 2019174^2 + 1066293^2 .

It is not a de Polignac number, because 5214044404125 - 2¹⁰ = 5214044403101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5214044404125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203208297 + ... + 203233953.

It is an arithmetic number, because the mean of its divisors is an integer number (101304519225).

Almost surely, 2^{5214044404125} is an apocalyptic number.

It is an amenable number.

5214044404125 is a deficient number, since it is larger than the sum of its proper divisors (4511189441475).

5214044404125 is a wasteful number, since it uses less digits than its factorization.

5214044404125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31936 (or 31923 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 5214044404125 in words is "five trillion, two hundred fourteen billion, forty-four million, four hundred four thousand, one hundred twenty-five".