1251772032 has 192 divisors, whose sum is σ = 3926543040. Its totient is φ = 352235520.

The previous prime is 1251772019. The next prime is 1251772043. The reversal of 1251772032 is 2302771521.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335468 + ... + 1336404.

It is an arithmetic number, because the mean of its divisors is an integer number (20450745).

Almost surely, 2^1251772032 is an apocalyptic number.

1251772032 is a gapful number since it is divisible by the number (12) 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 1251772032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963271520).

1251772032 is an abundant number, since it is smaller than the sum of its proper divisors (2674771008).

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

1251772032 is an equidigital number, since it uses as much as digits as its factorization.

1251772032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1251772032 is about 35380.3905009541. The cubic root of 1251772032 is about 1077.7261349621.

The spelling of 1251772032 in words is "one billion, two hundred fifty-one million, seven hundred seventy-two thousand, thirty-two".