350513050100 has 72 divisors (see below), whose sum is σ = 787919595960. Its totient is φ = 135185057280.

The previous prime is 350513050099. The next prime is 350513050163. The reversal of 350513050100 is 1050315053.

It can be written as a sum of positive squares in 12 ways, for example, as 25973190244 + 324539859856 = 161162^2 + 569684^2 .

It is a super-2 number, since 2×350513050100² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2043254 + ... + 2208146.

Almost surely, 2^350513050100 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 350513050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393959797980).

350513050100 is an abundant number, since it is smaller than the sum of its proper divisors (437406545860).

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

350513050100 is a wasteful number, since it uses less digits than its factorization.

350513050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165669 (or 165662 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 23.

Adding to 350513050100 its reverse (1050315053), we get a palindrome (351563365153).

The spelling of 350513050100 in words is "three hundred fifty billion, five hundred thirteen million, fifty thousand, one hundred".