313500051990 has 96 divisors (see below), whose sum is σ = 827069735232. Its totient is φ = 82373760000.

The previous prime is 313500051979. The next prime is 313500052001. The reversal of 313500051990 is 99150005313.

313500051990 is a `hidden beast` number, since 3 + 1 + 3 + 50 + 0 + 0 + 519 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (313500051979) and next prime (313500052001).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11494770 + ... + 11522010.

It is an arithmetic number, because the mean of its divisors is an integer number (8615309742).

Almost surely, 2^313500051990 is an apocalyptic number.

313500051990 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 313500051990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413534867616).

313500051990 is an abundant number, since it is smaller than the sum of its proper divisors (513569683242).

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

313500051990 is a wasteful number, since it uses less digits than its factorization.

313500051990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29126 (or 29123 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The spelling of 313500051990 in words is "three hundred thirteen billion, five hundred million, fifty-one thousand, nine hundred ninety".