1252083584 has 128 divisors (see below), whose sum is σ = 2788884000. Its totient is φ = 557383680.

The previous prime is 1252083577. The next prime is 1252083601. The reversal of 1252083584 is 4853802521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2891432 + ... + 2891864.

Almost surely, 2^1252083584 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 1252083584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394442000).

1252083584 is an abundant number, since it is smaller than the sum of its proper divisors (1536800416).

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

1252083584 is a wasteful number, since it uses less digits than its factorization.

1252083584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 1252083584 is about 35384.7931179483. The cubic root of 1252083584 is about 1077.8155388556.

The spelling of 1252083584 in words is "one billion, two hundred fifty-two million, eighty-three thousand, five hundred eighty-four".