251241152250000 has 1120 divisors, whose sum is σ = 899428687165440. Its totient is φ = 59922720000000.

The previous prime is 251241152249959. The next prime is 251241152250017. The reversal of 251241152250000 is 52251142152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 251241152250000.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 258744749515 + ... + 258744750485.

Almost surely, 2^{251241152250000} is an apocalyptic number.

251241152250000 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 251241152250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449714343582720).

251241152250000 is an abundant number, since it is smaller than the sum of its proper divisors (648187534915440).

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

251241152250000 is an equidigital number, since it uses as much as digits as its factorization.

251241152250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 251241152250000 in words is "two hundred fifty-one trillion, two hundred forty-one billion, one hundred fifty-two million, two hundred fifty thousand".