1252513632 has 96 divisors (see below), whose sum is σ = 3380952960. Its totient is φ = 405780480.

The previous prime is 1252513631. The next prime is 1252513651. The reversal of 1252513632 is 2363152521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1252513632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252513631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994219 + ... + 995477.

It is an arithmetic number, because the mean of its divisors is an integer number (35218260).

Almost surely, 2^1252513632 is an apocalyptic number.

1252513632 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 1252513632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690476480).

1252513632 is an abundant number, since it is smaller than the sum of its proper divisors (2128439328).

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

1252513632 is a wasteful number, since it uses less digits than its factorization.

1252513632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 1252513632 is about 35390.8693309447. The cubic root of 1252513632 is about 1077.9389223544.

The spelling of 1252513632 in words is "one billion, two hundred fifty-two million, five hundred thirteen thousand, six hundred thirty-two".