1252311872 has 112 divisors (see below), whose sum is σ = 3010936320. Its totient is φ = 505344000.

The previous prime is 1252311859. The next prime is 1252311877. The reversal of 1252311872 is 2781132521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252311877) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 531497 + ... + 533847.

It is an arithmetic number, because the mean of its divisors is an integer number (26883360).

Almost surely, 2^1252311872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505468160).

1252311872 is an abundant number, since it is smaller than the sum of its proper divisors (1758624448).

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

1252311872 is a wasteful number, since it uses less digits than its factorization.

1252311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2430 counting only the distinct ones).

The product of its digits is 6720, while the sum is 32.

The square root of 1252311872 is about 35388.0187634177. The cubic root of 1252311872 is about 1077.8810396482.

The spelling of 1252311872 in words is "one billion, two hundred fifty-two million, three hundred eleven thousand, eight hundred seventy-two".