213203292825833 has 2 divisors, whose sum is σ = 213203292825834. Its totient is φ = 213203292825832.

The previous prime is 213203292825737. The next prime is 213203292825851. The reversal of 213203292825833 is 338528292302312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157425502612624 + 55777790213209 = 12546932^2 + 7468453^2 .

It is a cyclic number.

It is not a de Polignac number, because 213203292825833 - 2¹⁴ = 213203292809449 is a prime.

It is not a weakly prime, because it can be changed into another prime (213203292825433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106601646412916 + 106601646412917.

It is an arithmetic number, because the mean of its divisors is an integer number (106601646412917).

Almost surely, 2^{213203292825833} is an apocalyptic number.

It is an amenable number.

213203292825833 is a deficient number, since it is larger than the sum of its proper divisors (1).

213203292825833 is an equidigital number, since it uses as much as digits as its factorization.

213203292825833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7464960, while the sum is 53.

The spelling of 213203292825833 in words is "two hundred thirteen trillion, two hundred three billion, two hundred ninety-two million, eight hundred twenty-five thousand, eight hundred thirty-three".