585253540 has 24 divisors (see below), whose sum is σ = 1231788600. Its totient is φ = 233576448.

The previous prime is 585253517. The next prime is 585253547. The reversal of 585253540 is 45352585.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 676 + 585252864 = 26^2 + 24192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 585253540.

It is not an unprimeable number, because it can be changed into a prime (585253547) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23607 + ... + 41566.

It is an arithmetic number, because the mean of its divisors is an integer number (51324525).

Almost surely, 2^585253540 is an apocalyptic number.

It is an amenable number.

585253540 is an abundant number, since it is smaller than the sum of its proper divisors (646535060).

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

585253540 is a wasteful number, since it uses less digits than its factorization.

585253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65631 (or 65629 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The square root of 585253540 is about 24192.0139715568. The cubic root of 585253540 is about 836.4654676878.

The spelling of 585253540 in words is "five hundred eighty-five million, two hundred fifty-three thousand, five hundred forty".