10605013 has 2 divisors, whose sum is σ = 10605014. Its totient is φ = 10605012.

The previous prime is 10604989. The next prime is 10605017. The reversal of 10605013 is 31050601.

10605013 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10381284 + 223729 = 3222^2 + 473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10605013 is a prime.

It is a super-2 number, since 2×10605013² = 224932601460338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10605017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302506 + 5302507.

It is an arithmetic number, because the mean of its divisors is an integer number (5302507).

Almost surely, 2^10605013 is an apocalyptic number.

It is an amenable number.

10605013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605013 is an equidigital number, since it uses as much as digits as its factorization.

10605013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 10605013 is about 3256.5338935746. The cubic root of 10605013 is about 219.7035469859.

Adding to 10605013 its reverse (31050601), we get a palindrome (41655614).

It can be divided in two parts, 1060501 and 3, that multiplied together give a triangular number (3181503 = T₂₅₂₂).

The spelling of 10605013 in words is "ten million, six hundred five thousand, thirteen".