213142519 has 2 divisors, whose sum is σ = 213142520. Its totient is φ = 213142518.

The previous prime is 213142499. The next prime is 213142537. The reversal of 213142519 is 915241312.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213142519 is a prime.

It is a super-4 number, since 4×213142519⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213142619) 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 as a sum of consecutive naturals, namely, 106571259 + 106571260.

It is an arithmetic number, because the mean of its divisors is an integer number (106571260).

Almost surely, 2^213142519 is an apocalyptic number.

213142519 is a deficient number, since it is larger than the sum of its proper divisors (1).

213142519 is an equidigital number, since it uses as much as digits as its factorization.

213142519 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 28.

The square root of 213142519 is about 14599.4013233420. The cubic root of 213142519 is about 597.3424305125.

The spelling of 213142519 in words is "two hundred thirteen million, one hundred forty-two thousand, five hundred nineteen".