213958513 has 2 divisors, whose sum is σ = 213958514. Its totient is φ = 213958512.

The previous prime is 213958499. The next prime is 213958529. The reversal of 213958513 is 315859312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146603664 + 67354849 = 12108^2 + 8207^2 .

It is a cyclic number.

It is not a de Polignac number, because 213958513 - 2¹⁷ = 213827441 is a prime.

It is not a weakly prime, because it can be changed into another prime (213958553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106979256 + 106979257.

It is an arithmetic number, because the mean of its divisors is an integer number (106979257).

Almost surely, 2^213958513 is an apocalyptic number.

It is an amenable number.

213958513 is a deficient number, since it is larger than the sum of its proper divisors (1).

213958513 is an equidigital number, since it uses as much as digits as its factorization.

213958513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32400, while the sum is 37.

The square root of 213958513 is about 14627.3207731286. The cubic root of 213958513 is about 598.1037476175.

The spelling of 213958513 in words is "two hundred thirteen million, nine hundred fifty-eight thousand, five hundred thirteen".