5414121253125 has 168 divisors, whose sum is σ = 10926721848168. Its totient is φ = 2665398960000.

The previous prime is 5414121253117. The next prime is 5414121253147. The reversal of 5414121253125 is 5213521214145.

5414121253125 is a `hidden beast` number, since 5 + 41 + 41 + 21 + 2 + 531 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5233122910404 + 180998342721 = 2287602^2 + 425439^2 .

It is not a de Polignac number, because 5414121253125 - 2³ = 5414121253117 is a prime.

It is a super-3 number, since 3×5414121253125³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5414121253125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 29524219 + ... + 29707031.

It is an arithmetic number, because the mean of its divisors is an integer number (65040011001).

Almost surely, 2^{5414121253125} is an apocalyptic number.

It is an amenable number.

5414121253125 is an abundant number, since it is smaller than the sum of its proper divisors (5512600595043).

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

5414121253125 is an frugal number, since it uses more digits than its factorization.

5414121253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182869 (or 182834 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The spelling of 5414121253125 in words is "five trillion, four hundred fourteen billion, one hundred twenty-one million, two hundred fifty-three thousand, one hundred twenty-five".