251230544130000 has 400 divisors, whose sum is σ = 829403780832000. Its totient is φ = 65491795200000.

The previous prime is 251230544129989. The next prime is 251230544130091. The reversal of 251230544130000 is 31445032152.

It is a tau number, because it is divible by the number of its divisors (400).

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 251230544130000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238845226 + ... + 239894774.

It is an arithmetic number, because the mean of its divisors is an integer number (2073509452080).

Almost surely, 2^{251230544130000} is an apocalyptic number.

251230544130000 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 251230544130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414701890416000).

251230544130000 is an abundant number, since it is smaller than the sum of its proper divisors (578173236702000).

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

251230544130000 is a wasteful number, since it uses less digits than its factorization.

251230544130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049760 (or 1049739 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 251230544130000 its reverse (31445032152), we get a palindrome (251261989162152).

The spelling of 251230544130000 in words is "two hundred fifty-one trillion, two hundred thirty billion, five hundred forty-four million, one hundred thirty thousand".