10135513 has 2 divisors, whose sum is σ = 10135514. Its totient is φ = 10135512.

The previous prime is 10135507. The next prime is 10135537. The reversal of 10135513 is 31553101.

10135513 is digitally balanced in base 3, 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., 7601049 + 2534464 = 2757^2 + 1592^2 .

It is a cyclic number.

It is not a de Polignac number, because 10135513 - 2¹³ = 10127321 is a prime.

It is not a weakly prime, because it can be changed into another prime (10135313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5067756 + 5067757.

It is an arithmetic number, because the mean of its divisors is an integer number (5067757).

Almost surely, 2^10135513 is an apocalyptic number.

It is an amenable number.

10135513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10135513 is an equidigital number, since it uses as much as digits as its factorization.

10135513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 10135513 is about 3183.6320453218. The cubic root of 10135513 is about 216.4122855459.

Adding to 10135513 its reverse (31553101), we get a palindrome (41688614).

It can be divided in two parts, 10135 and 513, that added together give a cube (10648 = 22³).

The spelling of 10135513 in words is "ten million, one hundred thirty-five thousand, five hundred thirteen".