1252824832 has 144 divisors (see below), whose sum is σ = 2963407552. Its totient is φ = 517570560.

The previous prime is 1252824817. The next prime is 1252824841. The reversal of 1252824832 is 2384282521.

It is a junction number, because it is equal to n+sod(n) for n = 1252824791 and 1252824800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7979698 + ... + 7979854.

Almost surely, 2^1252824832 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 1252824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481703776).

1252824832 is an abundant number, since it is smaller than the sum of its proper divisors (1710582720).

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

1252824832 is an equidigital number, since it uses as much as digits as its factorization.

1252824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 1252824832 is about 35395.2656721206. The cubic root of 1252824832 is about 1078.0281899960.

The spelling of 1252824832 in words is "one billion, two hundred fifty-two million, eight hundred twenty-four thousand, eight hundred thirty-two".