313055010 has 32 divisors (see below), whose sum is σ = 834814080. Its totient is φ = 83481264.

The previous prime is 313054997. The next prime is 313055011. The reversal of 313055010 is 10550313.

It is a happy number.

It is a super-3 number, since 3×313055010³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313055011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579462 + ... + 580001.

It is an arithmetic number, because the mean of its divisors is an integer number (26087940).

Almost surely, 2^313055010 is an apocalyptic number.

313055010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313055010 is an abundant number, since it is smaller than the sum of its proper divisors (521759070).

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

313055010 is a wasteful number, since it uses less digits than its factorization.

313055010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159479 (or 1159473 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 313055010 is about 17693.3606191701. The cubic root of 313055010 is about 679.0059075938.

It can be divided in two parts, 31305 and 5010, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 313055010 in words is "three hundred thirteen million, fifty-five thousand, ten".