10260013 has 2 divisors, whose sum is σ = 10260014. Its totient is φ = 10260012.

The previous prime is 10260011. The next prime is 10260059. The reversal of 10260013 is 31006201.

10260013 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 weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10220809 + 39204 = 3197^2 + 198^2 .

It is a cyclic number.

It is not a de Polignac number, because 10260013 - 2¹ = 10260011 is a prime.

Together with 10260011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10259975 and 10260002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10260011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5130006 + 5130007.

It is an arithmetic number, because the mean of its divisors is an integer number (5130007).

Almost surely, 2^10260013 is an apocalyptic number.

It is an amenable number.

10260013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10260013 is an equidigital number, since it uses as much as digits as its factorization.

10260013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10260013 is about 3203.1255048780. The cubic root of 10260013 is about 217.2947850781.

Adding to 10260013 its reverse (31006201), we get a palindrome (41266214).

The spelling of 10260013 in words is "ten million, two hundred sixty thousand, thirteen".