1251013680 has 640 divisors, whose sum is σ = 5416796160. Its totient is φ = 258785280.

The previous prime is 1251013667. The next prime is 1251013691. The reversal of 1251013680 is 863101521.

1251013680 is a `hidden beast` number, since 12 + 510 + 136 + 8 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7968162 + ... + 7968318.

It is an arithmetic number, because the mean of its divisors is an integer number (8463744).

Almost surely, 2^1251013680 is an apocalyptic number.

1251013680 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 1251013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708398080).

1251013680 is an abundant number, since it is smaller than the sum of its proper divisors (4165782480).

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

1251013680 is a wasteful number, since it uses less digits than its factorization.

1251013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1251013680 is about 35369.6717542021. The cubic root of 1251013680 is about 1077.5084539866.

The spelling of 1251013680 in words is "one billion, two hundred fifty-one million, thirteen thousand, six hundred eighty".