2515065251328 has 1200 divisors, whose sum is σ = 9448901035200. Its totient is φ = 661502951424.

The previous prime is 2515065251267. The next prime is 2515065251357. The reversal of 2515065251328 is 8231525605152.

2515065251328 is a `hidden beast` number, since 2 + 5 + 1 + 50 + 65 + 2 + 513 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1623669498 + ... + 1623671046.

It is an arithmetic number, because the mean of its divisors is an integer number (7874084196).

Almost surely, 2^{2515065251328} is an apocalyptic number.

2515065251328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2515065251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724450517600).

2515065251328 is an abundant number, since it is smaller than the sum of its proper divisors (6933835783872).

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

2515065251328 is a wasteful number, since it uses less digits than its factorization.

2515065251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 2515065251328 in words is "two trillion, five hundred fifteen billion, sixty-five million, two hundred fifty-one thousand, three hundred twenty-eight".