313524425313 has 18 divisors (see below), whose sum is σ = 497781205922. Its totient is φ = 190014802560.

The previous prime is 313524425257. The next prime is 313524425351.

313524425313 is a `hidden beast` number, since 3 + 1 + 352 + 44 + 253 + 13 = 666.

313524425313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 311729038929 + 1795386384 = 558327^2 + 42372^2 .

It is not a de Polignac number, because 313524425313 - 2¹⁰ = 313524424289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313524425363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143949520 + ... + 143951697.

Almost surely, 2^313524425313 is an apocalyptic number.

313524425313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313524425313 is a deficient number, since it is larger than the sum of its proper divisors (184256780609).

313524425313 is a wasteful number, since it uses less digits than its factorization.

313524425313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287901245 (or 287901231 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 313524 and 425313, that added together give a palindrome (738837).

The spelling of 313524425313 in words is "three hundred thirteen billion, five hundred twenty-four million, four hundred twenty-five thousand, three hundred thirteen".