213142537 has 2 divisors, whose sum is σ = 213142538. Its totient is φ = 213142536.

The previous prime is 213142519. The next prime is 213142543. The reversal of 213142537 is 735241312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172896201 + 40246336 = 13149^2 + 6344^2 .

It is a cyclic number.

It is not a de Polignac number, because 213142537 - 2⁷ = 213142409 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213142637) by changing a digit.

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 as a sum of consecutive naturals, namely, 106571268 + 106571269.

It is an arithmetic number, because the mean of its divisors is an integer number (106571269).

Almost surely, 2^213142537 is an apocalyptic number.

It is an amenable number.

213142537 is a deficient number, since it is larger than the sum of its proper divisors (1).

213142537 is an equidigital number, since it uses as much as digits as its factorization.

213142537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 28.

The square root of 213142537 is about 14599.4019398056. The cubic root of 213142537 is about 597.3424473278.

Adding to 213142537 its reverse (735241312), we get a palindrome (948383849).

The spelling of 213142537 in words is "two hundred thirteen million, one hundred forty-two thousand, five hundred thirty-seven".