1057252819984 has 45 divisors (see below), whose sum is σ = 2176154964471. Its totient is φ = 497497835520.

The previous prime is 1057252819979. The next prime is 1057252819991. The reversal of 1057252819984 is 4899182527501.

The square root of 1057252819984 is 1028228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 205635600 + 1057047184384 = 14340^2 + 1028128^2 .

It is a super-2 number, since 2×1057252819984² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69911944 + ... + 69927064.

Almost surely, 2^{1057252819984} is an apocalyptic number.

1057252819984 is the 1028228-th square number.

It is an amenable number.

1057252819984 is an abundant number, since it is smaller than the sum of its proper divisors (1118902144487).

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

1057252819984 is an frugal number, since it uses more digits than its factorization.

1057252819984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30284 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 61.

The spelling of 1057252819984 in words is "one trillion, fifty-seven billion, two hundred fifty-two million, eight hundred nineteen thousand, nine hundred eighty-four".