35105013 has 12 divisors (see below), whose sum is σ = 50931660. Its totient is φ = 23299776.

The previous prime is 35105003. The next prime is 35105029. The reversal of 35105013 is 31050153.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21511044 + 13593969 = 4638^2 + 3687^2 .

It is not a de Polignac number, because 35105013 - 2⁴ = 35104997 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 (35105003) 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, 6456 + ... + 10577.

It is an arithmetic number, because the mean of its divisors is an integer number (4244305).

Almost surely, 2^35105013 is an apocalyptic number.

It is an amenable number.

35105013 is a deficient number, since it is larger than the sum of its proper divisors (15826647).

35105013 is a wasteful number, since it uses less digits than its factorization.

35105013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17268 (or 17265 counting only the distinct ones).

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

The square root of 35105013 is about 5924.9483542053. The cubic root of 35105013 is about 327.4334515055.

Adding to 35105013 its reverse (31050153), we get a palindrome (66155166).

The spelling of 35105013 in words is "thirty-five million, one hundred five thousand, thirteen".