1057075524 has 36 divisors (see below), whose sum is σ = 2673216000. Its totient is φ = 352205040.

The previous prime is 1057075471. The next prime is 1057075529. The reversal of 1057075524 is 4255707501.

1057075524 is a `hidden beast` number, since 10 + 57 + 0 + 75 + 524 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×1057075524⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1057075529) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 103069 + ... + 112859.

It is an arithmetic number, because the mean of its divisors is an integer number (74256000).

Almost surely, 2^1057075524 is an apocalyptic number.

It is an amenable number.

1057075524 is an abundant number, since it is smaller than the sum of its proper divisors (1616140476).

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

1057075524 is a wasteful number, since it uses less digits than its factorization.

1057075524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12795 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 1057075524 is about 32512.6978886711. The cubic root of 1057075524 is about 1018.6742753556.

The spelling of 1057075524 in words is "one billion, fifty-seven million, seventy-five thousand, five hundred twenty-four".