1251922560 has 256 divisors, whose sum is σ = 4656096000. Its totient is φ = 286003200.

The previous prime is 1251922549. The next prime is 1251922561. The reversal of 1251922560 is 652291521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251922561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657610 + ... + 659510.

It is an arithmetic number, because the mean of its divisors is an integer number (18187875).

Almost surely, 2^1251922560 is an apocalyptic number.

1251922560 is a gapful number since it is divisible by the number (10) 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 1251922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328048000).

1251922560 is an abundant number, since it is smaller than the sum of its proper divisors (3404173440).

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

1251922560 is an equidigital number, since it uses as much as digits as its factorization.

1251922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 1251922560 is about 35382.5177170873. The cubic root of 1251922560 is about 1077.7693327791.

The spelling of 1251922560 in words is "one billion, two hundred fifty-one million, nine hundred twenty-two thousand, five hundred sixty".