1313505 has 36 divisors (see below), whose sum is σ = 2442492. Its totient is φ = 652800.

The previous prime is 1313467. The next prime is 1313567. The reversal of 1313505 is 5053131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 321489 + 992016 = 567^2 + 996^2 .

It is not a de Polignac number, because 1313505 - 2¹⁵ = 1280737 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12955 + ... + 13055.

It is an arithmetic number, because the mean of its divisors is an integer number (67847).

2^1313505 is an apocalyptic number.

1313505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313505 is a deficient number, since it is larger than the sum of its proper divisors (1128987).

1313505 is a wasteful number, since it uses less digits than its factorization.

1313505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

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

The square root of 1313505 is about 1146.0824577665. The cubic root of 1313505 is about 109.5159168706.

Adding to 1313505 its reverse (5053131), we get a palindrome (6366636).

The spelling of 1313505 in words is "one million, three hundred thirteen thousand, five hundred five".