213007353 has 16 divisors (see below), whose sum is σ = 308064960. Its totient is φ = 130135104.

The previous prime is 213007343. The next prime is 213007369. The reversal of 213007353 is 353700312.

It is not a de Polignac number, because 213007353 - 2⁸ = 213007097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213007343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14226 + ... + 25067.

It is an arithmetic number, because the mean of its divisors is an integer number (19254060).

Almost surely, 2^213007353 is an apocalyptic number.

It is an amenable number.

213007353 is a deficient number, since it is larger than the sum of its proper divisors (95057607).

213007353 is a wasteful number, since it uses less digits than its factorization.

213007353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39448.

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 213007353 is about 14594.7714267816. The cubic root of 213007353 is about 597.2161340158.

Adding to 213007353 its reverse (353700312), we get a palindrome (566707665).

The spelling of 213007353 in words is "two hundred thirteen million, seven thousand, three hundred fifty-three".