350516133 has 64 divisors (see below), whose sum is σ = 588349440. Its totient is φ = 204379200.

The previous prime is 350516071. The next prime is 350516167. The reversal of 350516133 is 331615053.

It is not a de Polignac number, because 350516133 - 2¹² = 350512037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 350516097 and 350516106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350516833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835068 + ... + 1835258.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2^350516133 is an apocalyptic number.

350516133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

350516133 is a deficient number, since it is larger than the sum of its proper divisors (237833307).

350516133 is a wasteful number, since it uses less digits than its factorization.

350516133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 350516133 is about 18722.0760868019. The cubic root of 350516133 is about 705.0761167250.

The spelling of 350516133 in words is "three hundred fifty million, five hundred sixteen thousand, one hundred thirty-three".