1252324512 has 72 divisors (see below), whose sum is σ = 3579357600. Its totient is φ = 415324800.

The previous prime is 1252324481. The next prime is 1252324519. The reversal of 1252324512 is 2154232521.

1252324512 is a `hidden beast` number, since 125 + 2 + 3 + 24 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×1252324512⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1252324519) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46387 + ... + 68237.

It is an arithmetic number, because the mean of its divisors is an integer number (49713300).

Almost surely, 2^1252324512 is an apocalyptic number.

1252324512 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 1252324512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789678800).

1252324512 is an abundant number, since it is smaller than the sum of its proper divisors (2327033088).

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

1252324512 is a wasteful number, since it uses less digits than its factorization.

1252324512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066 (or 22055 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 1252324512 is about 35388.1973544853. The cubic root of 1252324512 is about 1077.8846661065.

The spelling of 1252324512 in words is "one billion, two hundred fifty-two million, three hundred twenty-four thousand, five hundred twelve".