10628593 has 2 divisors, whose sum is σ = 10628594. Its totient is φ = 10628592.

The previous prime is 10628591. The next prime is 10628603. The reversal of 10628593 is 39582601.

10628593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10061584 + 567009 = 3172^2 + 753^2 .

It is a cyclic number.

It is not a de Polignac number, because 10628593 - 2¹ = 10628591 is a prime.

It is a super-2 number, since 2×10628593² = 225933978319298, which contains 22 as substring.

Together with 10628591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10628591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5314296 + 5314297.

It is an arithmetic number, because the mean of its divisors is an integer number (5314297).

Almost surely, 2^10628593 is an apocalyptic number.

It is an amenable number.

10628593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10628593 is an equidigital number, since it uses as much as digits as its factorization.

10628593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 10628593 is about 3260.1522970561. The cubic root of 10628593 is about 219.8662616920.

The spelling of 10628593 in words is "ten million, six hundred twenty-eight thousand, five hundred ninety-three".