313053 has 16 divisors (see below), whose sum is σ = 470400. Its totient is φ = 183744.

The previous prime is 313037. The next prime is 313081. The reversal of 313053 is 350313.

313053 = T₁₄₂ + T₁₄₃ + ... + T₁₆₇.

It is not a de Polignac number, because 313053 - 2⁴ = 313037 is a prime.

313053 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313003) by changing a digit.

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, 723 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2³¹³⁰⁵³ is an apocalyptic number.

It is an amenable number.

313053 is a deficient number, since it is larger than the sum of its proper divisors (157347).

313053 is a wasteful number, since it uses less digits than its factorization.

313053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388.

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 313053 is about 559.5113939859. The cubic root of 313053 is about 67.9004454383.

Adding to 313053 its reverse (350313), we get a palindrome (663366).

The spelling of 313053 in words is "three hundred thirteen thousand, fifty-three".