1252752384 has 264 divisors, whose sum is σ = 3835914240. Its totient is φ = 362299392.

The previous prime is 1252752379. The next prime is 1252752407. The reversal of 1252752384 is 4832572521.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9864129 + ... + 9864255.

Almost surely, 2^1252752384 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 1252752384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917957120).

1252752384 is an abundant number, since it is smaller than the sum of its proper divisors (2583161856).

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

1252752384 is a wasteful number, since it uses less digits than its factorization.

1252752384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 1252752384 is about 35394.2422436192. The cubic root of 1252752384 is about 1078.0074096257.

The spelling of 1252752384 in words is "one billion, two hundred fifty-two million, seven hundred fifty-two thousand, three hundred eighty-four".