351165056 has 96 divisors (see below), whose sum is σ = 811658880. Its totient is φ = 150056960.

The previous prime is 351165053. The next prime is 351165071. The reversal of 351165056 is 650561153.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (351165053) 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 11 ways as a sum of consecutive naturals, for example, 406481 + ... + 407343.

It is an arithmetic number, because the mean of its divisors is an integer number (8454780).

Almost surely, 2^351165056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405829440).

351165056 is an abundant number, since it is smaller than the sum of its proper divisors (460493824).

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

351165056 is a wasteful number, since it uses less digits than its factorization.

351165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 351165056 is about 18739.3984962165. The cubic root of 351165056 is about 705.5109593304.

The spelling of 351165056 in words is "three hundred fifty-one million, one hundred sixty-five thousand, fifty-six".