8001513 has 12 divisors (see below), whose sum is σ = 12446980. Its totient is φ = 4923936.

The previous prime is 8001491. The next prime is 8001517. The reversal of 8001513 is 3151008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3790809 + 4210704 = 1947^2 + 2052^2 .

It is not a de Polignac number, because 8001513 - 2²⁰ = 6952937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8001517) 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, 34078 + ... + 34311.

Almost surely, 2^8001513 is an apocalyptic number.

It is an amenable number.

8001513 is a deficient number, since it is larger than the sum of its proper divisors (4445467).

8001513 is a wasteful number, since it uses less digits than its factorization.

8001513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68408 (or 68405 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 8001513 is about 2828.6945752414. The cubic root of 8001513 is about 200.0126075386.

The spelling of 8001513 in words is "eight million, one thousand, five hundred thirteen".