315105520314 has 128 divisors (see below), whose sum is σ = 724663618560. Its totient is φ = 91025206272.

The previous prime is 315105520309. The next prime is 315105520361. The reversal of 315105520314 is 413025501513.

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 63 ways as a sum of consecutive naturals, for example, 103754004 + ... + 103757040.

It is an arithmetic number, because the mean of its divisors is an integer number (5661434520).

Almost surely, 2^315105520314 is an apocalyptic number.

315105520314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315105520314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362331809280).

315105520314 is an abundant number, since it is smaller than the sum of its proper divisors (409558098246).

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

315105520314 is a wasteful number, since it uses less digits than its factorization.

315105520314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 315105520314 in words is "three hundred fifteen billion, one hundred five million, five hundred twenty thousand, three hundred fourteen".