1005513 has 4 divisors (see below), whose sum is σ = 1340688. Its totient is φ = 670340.

The previous prime is 1005503. The next prime is 1005527. The reversal of 1005513 is 3155001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1005513 - 2⁵ = 1005481 is a prime.

It is a super-2 number, since 2×1005513² = 2022112786338, which contains 22 as substring.

It is a D-number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005492 and 1005501.

It is not an unprimeable number, because it can be changed into a prime (1005503) 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 3 ways as a sum of consecutive naturals, for example, 167583 + ... + 167588.

It is an arithmetic number, because the mean of its divisors is an integer number (335172).

2^1005513 is an apocalyptic number.

It is an amenable number.

1005513 is a deficient number, since it is larger than the sum of its proper divisors (335175).

1005513 is an equidigital number, since it uses as much as digits as its factorization.

1005513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335174.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1005513 is about 1002.7527112903. The cubic root of 1005513 is about 100.1834299953.

The spelling of 1005513 in words is "one million, five thousand, five hundred thirteen".