5301415004112 has 200 divisors, whose sum is σ = 15558288060744. Its totient is φ = 1742453047296.

The previous prime is 5301415004101. The next prime is 5301415004153. The reversal of 5301415004112 is 2114005141035.

5301415004112 is a `hidden beast` number, since 5 + 3 + 0 + 1 + 41 + 500 + 4 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1010700472896 + 4290714531216 = 1005336^2 + 2071404^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 563196718 + ... + 563206130.

Almost surely, 2^{5301415004112} 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 5301415004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779144030372).

5301415004112 is an abundant number, since it is smaller than the sum of its proper divisors (10256873056632).

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

5301415004112 is a wasteful number, since it uses less digits than its factorization.

5301415004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15459 (or 15444 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 5301415004112 in words is "five trillion, three hundred one billion, four hundred fifteen million, four thousand, one hundred twelve".