8100513 has 16 divisors (see below), whose sum is σ = 12139200. Its totient is φ = 5338080.

The previous prime is 8100511. The next prime is 8100529. The reversal of 8100513 is 3150018.

It is a happy number.

It is not a de Polignac number, because 8100513 - 2¹ = 8100511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8100511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718 + ... + 4088.

It is an arithmetic number, because the mean of its divisors is an integer number (758700).

Almost surely, 2^8100513 is an apocalyptic number.

It is an amenable number.

8100513 is a deficient number, since it is larger than the sum of its proper divisors (4038687).

8100513 is a wasteful number, since it uses less digits than its factorization.

8100513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3463 counting only the distinct ones).

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

The square root of 8100513 is about 2846.1400176379. The cubic root of 8100513 is about 200.8341246772.

It can be divided in two parts, 81005 and 13, that added together give a palindrome (81018).

The spelling of 8100513 in words is "eight million, one hundred thousand, five hundred thirteen".