20251145250 has 768 divisors, whose sum is σ = 71022182400. Its totient is φ = 4059072000.

The previous prime is 20251145249. The next prime is 20251145311. The reversal of 20251145250 is 5254115202.

20251145250 is a `hidden beast` number, since 2 + 0 + 25 + 114 + 525 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 343239721 + ... + 343239779.

It is an arithmetic number, because the mean of its divisors is an integer number (92476800).

Almost surely, 2^20251145250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20251145250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35511091200).

20251145250 is an abundant number, since it is smaller than the sum of its proper divisors (50771037150).

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

20251145250 is a wasteful number, since it uses less digits than its factorization.

20251145250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 20251145250 in words is "twenty billion, two hundred fifty-one million, one hundred forty-five thousand, two hundred fifty".