10072558213 has 2 divisors, whose sum is σ = 10072558214. Its totient is φ = 10072558212.

The previous prime is 10072558201. The next prime is 10072558231. The reversal of 10072558213 is 31285527001.

Together with next prime (10072558231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9631852164 + 440706049 = 98142^2 + 20993^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10072558213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10072558813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036279106 + 5036279107.

It is an arithmetic number, because the mean of its divisors is an integer number (5036279107).

Almost surely, 2^10072558213 is an apocalyptic number.

It is an amenable number.

10072558213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10072558213 is an equidigital number, since it uses as much as digits as its factorization.

10072558213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 10072558213 in words is "ten billion, seventy-two million, five hundred fifty-eight thousand, two hundred thirteen".