10427013 has 12 divisors (see below), whose sum is σ = 15140268. Its totient is φ = 6914880.

The previous prime is 10426993. The next prime is 10427017. The reversal of 10427013 is 31072401.

10427013 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 can be written as a sum of positive squares in 2 ways, for example, as 9622404 + 804609 = 3102^2 + 897^2 .

It is not a de Polignac number, because 10427013 - 2⁹ = 10426501 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168 + ... + 4713.

It is an arithmetic number, because the mean of its divisors is an integer number (1261689).

Almost surely, 2^10427013 is an apocalyptic number.

It is an amenable number.

10427013 is a deficient number, since it is larger than the sum of its proper divisors (4713255).

10427013 is a wasteful number, since it uses less digits than its factorization.

10427013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10427013 is about 3229.0885710987. The cubic root of 10427013 is about 218.4673990952.

Adding to 10427013 its reverse (31072401), we get a palindrome (41499414).

The spelling of 10427013 in words is "ten million, four hundred twenty-seven thousand, thirteen".