1251563320224 has 864 divisors, whose sum is σ = 4446835848000. Its totient is φ = 331954495488.

The previous prime is 1251563320193. The next prime is 1251563320253. The reversal of 1251563320224 is 4220233651521.

1251563320224 is a `hidden beast` number, since 1 + 2 + 5 + 15 + 633 + 2 + 0 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4271547022 + ... + 4271547314.

It is an arithmetic number, because the mean of its divisors is an integer number (5146800750).

Almost surely, 2^{1251563320224} is an apocalyptic number.

1251563320224 is a gapful number since it is divisible by the number (14) 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 1251563320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223417924000).

1251563320224 is an abundant number, since it is smaller than the sum of its proper divisors (3195272527776).

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

1251563320224 is a wasteful number, since it uses less digits than its factorization.

1251563320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1251563320224 its reverse (4220233651521), we get a palindrome (5471796971745).

The spelling of 1251563320224 in words is "one trillion, two hundred fifty-one billion, five hundred sixty-three million, three hundred twenty thousand, two hundred twenty-four".