351120315 has 96 divisors (see below), whose sum is σ = 711714816. Its totient is φ = 144668160.

The previous prime is 351120311. The next prime is 351120349. The reversal of 351120315 is 513021153.

It is not a de Polignac number, because 351120315 - 2² = 351120311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 351120291 and 351120300.

It is not an unprimeable number, because it can be changed into a prime (351120311) 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 95 ways as a sum of consecutive naturals, for example, 833805 + ... + 834225.

It is an arithmetic number, because the mean of its divisors is an integer number (7413696).

Almost surely, 2^351120315 is an apocalyptic number.

351120315 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

351120315 is an abundant number, since it is smaller than the sum of its proper divisors (360594501).

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

351120315 is a wasteful number, since it uses less digits than its factorization.

351120315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 351120315 is about 18738.2046898842. The cubic root of 351120315 is about 705.4809956368.

Adding to 351120315 its reverse (513021153), we get a palindrome (864141468).

The spelling of 351120315 in words is "three hundred fifty-one million, one hundred twenty thousand, three hundred fifteen".