556753536 has 96 divisors (see below), whose sum is σ = 1696418100. Its totient is φ = 174661632.

The previous prime is 556753517. The next prime is 556753567. The reversal of 556753536 is 635357655.

It is a happy number.

556753536 is a `hidden beast` number, since 5 + 5 + 67 + 53 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 554319936 + 2433600 = 23544^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 556753491 and 556753500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5370 + ... + 33798.

Almost surely, 2^556753536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556753536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848209050).

556753536 is an abundant number, since it is smaller than the sum of its proper divisors (1139664564).

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

556753536 is a wasteful number, since it uses less digits than its factorization.

556753536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28466 (or 28451 counting only the distinct ones).

The product of its digits is 1417500, while the sum is 45.

The square root of 556753536 is about 23595.6253572564. The cubic root of 556753536 is about 822.6611619907.

The spelling of 556753536 in words is "five hundred fifty-six million, seven hundred fifty-three thousand, five hundred thirty-six".