1251972080 has 40 divisors (see below), whose sum is σ = 2914173600. Its totient is φ = 500214528.

The previous prime is 1251972067. The next prime is 1251972091. The reversal of 1251972080 is 802791521.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1251972080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65006 + ... + 82034.

It is an arithmetic number, because the mean of its divisors is an integer number (72854340).

Almost surely, 2^1251972080 is an apocalyptic number.

1251972080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1251972080 is an abundant number, since it is smaller than the sum of its proper divisors (1662201520).

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

1251972080 is a wasteful number, since it uses less digits than its factorization.

1251972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17961 (or 17955 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 1251972080 is about 35383.2174907823. The cubic root of 1251972080 is about 1077.7835430386.

The spelling of 1251972080 in words is "one billion, two hundred fifty-one million, nine hundred seventy-two thousand, eighty".