2251253315520 has 336 divisors, whose sum is σ = 8451267128928. Its totient is φ = 545503150080.

The previous prime is 2251253315513. The next prime is 2251253315617. The reversal of 2251253315520 is 255133521522.

2251253315520 is a `hidden beast` number, since 2 + 2 + 5 + 125 + 3 + 3 + 1 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72753492 + ... + 72784428.

Almost surely, 2^{2251253315520} is an apocalyptic number.

2251253315520 is a gapful number since it is divisible by the number (20) 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 2251253315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225633564464).

2251253315520 is an abundant number, since it is smaller than the sum of its proper divisors (6200013813408).

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

2251253315520 is a wasteful number, since it uses less digits than its factorization.

2251253315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33268 (or 33255 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 2251253315520 in words is "two trillion, two hundred fifty-one billion, two hundred fifty-three million, three hundred fifteen thousand, five hundred twenty".