53577585 has 16 divisors (see below), whose sum is σ = 95249280. Its totient is φ = 28574640.

The previous prime is 53577577. The next prime is 53577593. The reversal of 53577585 is 58577535.

53577585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53577577) and next prime (53577593).

It is not a de Polignac number, because 53577585 - 2³ = 53577577 is a prime.

It is a super-2 number, since 2×53577585² = 5741115228864450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53577585.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198301 + ... + 198570.

It is an arithmetic number, because the mean of its divisors is an integer number (5953080).

Almost surely, 2^53577585 is an apocalyptic number.

It is an amenable number.

53577585 is a deficient number, since it is larger than the sum of its proper divisors (41671695).

53577585 is a wasteful number, since it uses less digits than its factorization.

53577585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396885 (or 396879 counting only the distinct ones).

The product of its digits is 735000, while the sum is 45.

The square root of 53577585 is about 7319.6710991683. The cubic root of 53577585 is about 376.9881606181.

The spelling of 53577585 in words is "fifty-three million, five hundred seventy-seven thousand, five hundred eighty-five".