5214124214125 has 32 divisors (see below), whose sum is σ = 6531038748000. Its totient is φ = 4156054988800.

The previous prime is 5214124214099. The next prime is 5214124214129.

5214124214125 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 578723826121 + 4635400388004 = 760739^2 + 2152998^2 .

It is not a de Polignac number, because 5214124214125 - 2²³ = 5214115825517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214124214129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54181551 + ... + 54277699.

It is an arithmetic number, because the mean of its divisors is an integer number (204094960875).

Almost surely, 2^{5214124214125} is an apocalyptic number.

It is an amenable number.

5214124214125 is a deficient number, since it is larger than the sum of its proper divisors (1316914533875).

5214124214125 is a wasteful number, since it uses less digits than its factorization.

5214124214125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97746 (or 97736 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

The spelling of 5214124214125 in words is "five trillion, two hundred fourteen billion, one hundred twenty-four million, two hundred fourteen thousand, one hundred twenty-five".