313863255225 has 189 divisors, whose sum is σ = 646942429003. Its totient is φ = 145428042240.

The previous prime is 313863255217. The next prime is 313863255229. The reversal of 313863255225 is 522552368313.

The square root of 313863255225 is 560235.

It is a perfect power (a square), and thus also a powerful number.

313863255225 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 632 + 5 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 31 ways, for example, as 16716162681 + 297147092544 = 129291^2 + 545112^2 .

It is not a de Polignac number, because 313863255225 - 2³ = 313863255217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (1296000) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (313863255229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 18462544417 + ... + 18462544433.

Almost surely, 2^313863255225 is an apocalyptic number.

313863255225 is the 560235-th square number.

313863255225 is the 280118-th centered octagonal number.

It is an amenable number.

313863255225 is an abundant number, since it is smaller than the sum of its proper divisors (333079173778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313863255225 is an frugal number, since it uses more digits than its factorization.

313863255225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 38 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 313863255225 in words is "three hundred thirteen billion, eight hundred sixty-three million, two hundred fifty-five thousand, two hundred twenty-five".