1057745575 has 48 divisors (see below), whose sum is σ = 1405624320. Its totient is φ = 788256000.

The previous prime is 1057745573. The next prime is 1057745587. The reversal of 1057745575 is 5755477501.

It is not a de Polignac number, because 1057745575 - 2¹ = 1057745573 is a prime.

It is a super-3 number, since 3×1057745575³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057745573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2585971 + ... + 2586379.

It is an arithmetic number, because the mean of its divisors is an integer number (29283840).

Almost surely, 2^1057745575 is an apocalyptic number.

1057745575 is a deficient number, since it is larger than the sum of its proper divisors (347878745).

1057745575 is a wasteful number, since it uses less digits than its factorization.

1057745575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 857500, while the sum is 46.

The square root of 1057745575 is about 32523.0007071918. Note that the first 3 decimals coincide. The cubic root of 1057745575 is about 1018.8894663969.

Subtracting from 1057745575 its sum of digits (46), we obtain a square (1057745529 = 32523²).

The spelling of 1057745575 in words is "one billion, fifty-seven million, seven hundred forty-five thousand, five hundred seventy-five".