10052513213 has 2 divisors, whose sum is σ = 10052513214. Its totient is φ = 10052513212.

The previous prime is 10052513197. The next prime is 10052513227. The reversal of 10052513213 is 31231525001.

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., 8753847844 + 1298665369 = 93562^2 + 36037^2 .

It is a cyclic number.

It is not a de Polignac number, because 10052513213 - 2⁴ = 10052513197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10052513413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5026256606 + 5026256607.

It is an arithmetic number, because the mean of its divisors is an integer number (5026256607).

Almost surely, 2^10052513213 is an apocalyptic number.

It is an amenable number.

10052513213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10052513213 is an equidigital number, since it uses as much as digits as its factorization.

10052513213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 10052513213 in words is "ten billion, fifty-two million, five hundred thirteen thousand, two hundred thirteen".