57536001 has 10 divisors (see below), whose sum is σ = 85948962. Its totient is φ = 38357280.

The previous prime is 57535981. The next prime is 57536053. The reversal of 57536001 is 10063575.

57536001 is a `hidden beast` number, since 5 + 7 + 53 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57017601 + 518400 = 7551^2 + 720^2 .

It is not a de Polignac number, because 57536001 - 2¹¹ = 57533953 is a prime.

It is a super-2 number, since 2×57536001² = 6620782822144002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57536081) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 355080 + ... + 355241.

Almost surely, 2^57536001 is an apocalyptic number.

It is an amenable number.

57536001 is a deficient number, since it is larger than the sum of its proper divisors (28412961).

57536001 is an equidigital number, since it uses as much as digits as its factorization.

57536001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710333 (or 710324 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 57536001 is about 7585.2489082429. The cubic root of 57536001 is about 386.0526676056.

Adding to 57536001 its reverse (10063575), we get a palindrome (67599576).

The spelling of 57536001 in words is "fifty-seven million, five hundred thirty-six thousand, one".