313071484050 has 480 divisors, whose sum is σ = 1001305443600. Its totient is φ = 71842775040.

The previous prime is 313071484027. The next prime is 313071484079. The reversal of 313071484050 is 50484170313.

It is a happy number.

313071484050 is a `hidden beast` number, since 31 + 30 + 71 + 484 + 0 + 50 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 993951729 + 312077532321 = 31527^2 + 558639^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313071483996 and 313071484014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 97558846 + ... + 97562054.

Almost surely, 2^313071484050 is an apocalyptic number.

313071484050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313071484050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500652721800).

313071484050 is an abundant number, since it is smaller than the sum of its proper divisors (688233959550).

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

313071484050 is a wasteful number, since it uses less digits than its factorization.

313071484050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 313071484050 in words is "three hundred thirteen billion, seventy-one million, four hundred eighty-four thousand, fifty".