10035513 has 6 divisors (see below), whose sum is σ = 14495754. Its totient is φ = 6690336.

The previous prime is 10035499. The next prime is 10035533. The reversal of 10035513 is 31553001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8363664 + 1671849 = 2892^2 + 1293^2 .

It is not a de Polignac number, because 10035513 - 2¹⁷ = 9904441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10035533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557520 + ... + 557537.

It is an arithmetic number, because the mean of its divisors is an integer number (2415959).

Almost surely, 2^10035513 is an apocalyptic number.

It is an amenable number.

10035513 is a deficient number, since it is larger than the sum of its proper divisors (4460241).

10035513 is a wasteful number, since it uses less digits than its factorization.

10035513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115063 (or 1115060 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10035513 is about 3167.8877821034. The cubic root of 10035513 is about 215.6982024929.

Adding to 10035513 its reverse (31553001), we get a palindrome (41588514).

The spelling of 10035513 in words is "ten million, thirty-five thousand, five hundred thirteen".