213288512 has 28 divisors (see below), whose sum is σ = 424060620. Its totient is φ = 106438656.

The previous prime is 213288457. The next prime is 213288521. The reversal of 213288512 is 215882312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 125978176 + 87310336 = 11224^2 + 9344^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 33488 + ... + 39344.

Almost surely, 2^213288512 is an apocalyptic number.

It is an amenable number.

213288512 is a deficient number, since it is larger than the sum of its proper divisors (210772108).

213288512 is an equidigital number, since it uses as much as digits as its factorization.

213288512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6428 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 213288512 is about 14604.4004327463. The cubic root of 213288512 is about 597.4787835817.

The spelling of 213288512 in words is "two hundred thirteen million, two hundred eighty-eight thousand, five hundred twelve".