251520000000 has 448 divisors, whose sum is σ = 844746274944. Its totient is φ = 66560000000.

The previous prime is 251519999911. The next prime is 251520000031. The reversal of 251520000000 is 25152.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1919999935 + ... + 1920000065.

Almost surely, 2^251520000000 is an apocalyptic number.

251520000000 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 251520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422373137472).

251520000000 is an abundant number, since it is smaller than the sum of its proper divisors (593226274944).

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

251520000000 is an frugal number, since it uses more digits than its factorization.

251520000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

Adding to 251520000000 its reverse (25152), we get a palindrome (251520025152).

251520000000 divided by its reverse (25152) gives a 7-th power (10000000 = 10⁷).

The spelling of 251520000000 in words is "two hundred fifty-one billion, five hundred twenty million", and thus it is an aban number.