1252733568 has 96 divisors (see below), whose sum is σ = 3421373760. Its totient is φ = 406121472.

The previous prime is 1252733567. The next prime is 1252733659. The reversal of 1252733568 is 8653372521.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1252733567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524505 + ... + 526887.

It is an arithmetic number, because the mean of its divisors is an integer number (35639310).

Almost surely, 2^1252733568 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 1252733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710686880).

1252733568 is an abundant number, since it is smaller than the sum of its proper divisors (2168640192).

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

1252733568 is an equidigital number, since it uses as much as digits as its factorization.

1252733568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2425 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 1252733568 is about 35393.9764366763. The cubic root of 1252733568 is about 1078.0020124727.

The spelling of 1252733568 in words is "one billion, two hundred fifty-two million, seven hundred thirty-three thousand, five hundred sixty-eight".