10509013 has 2 divisors, whose sum is σ = 10509014. Its totient is φ = 10509012.

The previous prime is 10508989. The next prime is 10509029. The reversal of 10509013 is 31090501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9746884 + 762129 = 3122^2 + 873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10509013 is a prime.

It is a super-2 number, since 2×10509013² = 220878708468338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10509313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5254506 + 5254507.

It is an arithmetic number, because the mean of its divisors is an integer number (5254507).

Almost surely, 2^10509013 is an apocalyptic number.

It is an amenable number.

10509013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10509013 is an equidigital number, since it uses as much as digits as its factorization.

10509013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 10509013 is about 3241.7607869798. The cubic root of 10509013 is about 219.0385940058.

Adding to 10509013 its reverse (31090501), we get a palindrome (41599514).

The spelling of 10509013 in words is "ten million, five hundred nine thousand, thirteen".