2052513132233 has 2 divisors, whose sum is σ = 2052513132234. Its totient is φ = 2052513132232.

The previous prime is 2052513132211. The next prime is 2052513132311. The reversal of 2052513132233 is 3322313152502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1393797470464 + 658715661769 = 1180592^2 + 811613^2 .

It is a cyclic number.

It is not a de Polignac number, because 2052513132233 - 2³⁰ = 2051439390409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2052513132233.

It is not a weakly prime, because it can be changed into another prime (2052513132533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1026256566116 + 1026256566117.

It is an arithmetic number, because the mean of its divisors is an integer number (1026256566117).

Almost surely, 2^{2052513132233} is an apocalyptic number.

It is an amenable number.

2052513132233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2052513132233 is an equidigital number, since it uses as much as digits as its factorization.

2052513132233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 2052513132233 its reverse (3322313152502), we get a palindrome (5374826284735).

The spelling of 2052513132233 in words is "two trillion, fifty-two billion, five hundred thirteen million, one hundred thirty-two thousand, two hundred thirty-three".