350516705105 has 24 divisors (see below), whose sum is σ = 494790408360. Its totient is φ = 237653687040.

The previous prime is 350516705093. The next prime is 350516705191. The reversal of 350516705105 is 501507615053.

It can be written as a sum of positive squares in 4 ways, for example, as 619611664 + 349897093441 = 24892^2 + 591521^2 .

It is not a de Polignac number, because 350516705105 - 2¹² = 350516701009 is a prime.

It is a super-2 number, since 2×350516705105² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8015726 + ... + 8059335.

It is an arithmetic number, because the mean of its divisors is an integer number (20616267015).

Almost surely, 2^350516705105 is an apocalyptic number.

350516705105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

350516705105 is a deficient number, since it is larger than the sum of its proper divisors (144273703255).

350516705105 is a wasteful number, since it uses less digits than its factorization.

350516705105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16075169 (or 16075162 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 38.

The spelling of 350516705105 in words is "three hundred fifty billion, five hundred sixteen million, seven hundred five thousand, one hundred five".