2261523251250 has 120 divisors (see below), whose sum is σ = 6127810335504. Its totient is φ = 602598972000.

The previous prime is 2261523251237. The next prime is 2261523251261. The reversal of 2261523251250 is 521523251622.

2261523251250 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 523 + 2 + 5 + 125 + 0 = 666.

It is a super-2 number, since 2×2261523251250² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14355409 + ... + 14512091.

Almost surely, 2^{2261523251250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261523251250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063905167752).

2261523251250 is an abundant number, since it is smaller than the sum of its proper divisors (3866287084254).

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

2261523251250 is a wasteful number, since it uses less digits than its factorization.

2261523251250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157994 (or 157976 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2261523251250 in words is "two trillion, two hundred sixty-one billion, five hundred twenty-three million, two hundred fifty-one thousand, two hundred fifty".