313105525 has 12 divisors (see below), whose sum is σ = 389303332. Its totient is φ = 249805440.

The previous prime is 313105523. The next prime is 313105531. The reversal of 313105525 is 525501313.

It can be written as a sum of positive squares in 6 ways, for example, as 27889 + 313077636 = 167^2 + 17694^2 .

It is not a de Polignac number, because 313105525 - 2¹ = 313105523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313105525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313105523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7464 + ... + 26113.

Almost surely, 2^313105525 is an apocalyptic number.

It is an amenable number.

313105525 is a deficient number, since it is larger than the sum of its proper divisors (76197807).

313105525 is a wasteful number, since it uses less digits than its factorization.

313105525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33960 (or 33955 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 313105525 is about 17694.7880744585. The cubic root of 313105525 is about 679.0424274147.

Adding to 313105525 its reverse (525501313), we get a palindrome (838606838).

The spelling of 313105525 in words is "three hundred thirteen million, one hundred five thousand, five hundred twenty-five".