1252557984 has 48 divisors (see below), whose sum is σ = 3293105760. Its totient is φ = 416866560.

The previous prime is 1252557973. The next prime is 1252558061. The reversal of 1252557984 is 4897552521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53587 + ... + 73325.

It is an arithmetic number, because the mean of its divisors is an integer number (68606370).

Almost surely, 2^1252557984 is an apocalyptic number.

It is an amenable number.

1252557984 is an abundant number, since it is smaller than the sum of its proper divisors (2040547776).

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

1252557984 is a wasteful number, since it uses less digits than its factorization.

1252557984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20413 (or 20405 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 48.

The square root of 1252557984 is about 35391.4959276943. The cubic root of 1252557984 is about 1077.9516456179.

The spelling of 1252557984 in words is "one billion, two hundred fifty-two million, five hundred fifty-seven thousand, nine hundred eighty-four".