5121415413312 has 224 divisors, whose sum is σ = 15735126873600. Its totient is φ = 1453741977600.

The previous prime is 5121415413277. The next prime is 5121415413313. The reversal of 5121415413312 is 2133145141215.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5121415413313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2854387 + ... + 4288397.

Almost surely, 2^{5121415413312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5121415413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7867563436800).

5121415413312 is an abundant number, since it is smaller than the sum of its proper divisors (10613711460288).

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

5121415413312 is a wasteful number, since it uses less digits than its factorization.

5121415413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434145 (or 1434135 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The spelling of 5121415413312 in words is "five trillion, one hundred twenty-one billion, four hundred fifteen million, four hundred thirteen thousand, three hundred twelve".