1513005 has 16 divisors (see below), whose sum is σ = 2607360. Its totient is φ = 744768.

The previous prime is 1512961. The next prime is 1513013. The reversal of 1513005 is 5003151.

It is not a de Polignac number, because 1513005 - 2⁷ = 1512877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3685 + ... + 4074.

It is an arithmetic number, because the mean of its divisors is an integer number (162960).

2^1513005 is an apocalyptic number.

1513005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1513005 is a deficient number, since it is larger than the sum of its proper divisors (1094355).

1513005 is a wasteful number, since it uses less digits than its factorization.

1513005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780.

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

The square root of 1513005 is about 1230.0426821863. The cubic root of 1513005 is about 114.8012951733.

Subtracting from 1513005 its product of nonzero digits (75), we obtain a triangular number (1512930 = T₁₇₃₉).

Adding to 1513005 its reverse (5003151), we get a palindrome (6516156).

The spelling of 1513005 in words is "one million, five hundred thirteen thousand, five".