1251300960 has 480 divisors, whose sum is σ = 5440260672. Its totient is φ = 263761920.

The previous prime is 1251300949. The next prime is 1251300971. The reversal of 1251300960 is 690031521.

It is an interprime number because it is at equal distance from previous prime (1251300949) and next prime (1251300971).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1178830 + ... + 1179890.

Almost surely, 2^1251300960 is an apocalyptic number.

1251300960 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 1251300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720130336).

1251300960 is an abundant number, since it is smaller than the sum of its proper divisors (4188959712).

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

1251300960 is a wasteful number, since it uses less digits than its factorization.

1251300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1251300960 is about 35373.7326274737. The cubic root of 1251300960 is about 1077.5909265559.

The spelling of 1251300960 in words is "one billion, two hundred fifty-one million, three hundred thousand, nine hundred sixty".