352040052105 has 48 divisors (see below), whose sum is σ = 734078517120. Its totient is φ = 152462456064.

The previous prime is 352040052097. The next prime is 352040052107. The reversal of 352040052105 is 501250040253.

It is a happy number.

It is not a de Polignac number, because 352040052105 - 2³ = 352040052097 is a prime.

It is a super-2 number, since 2×352040052105² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352040052107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29404212 + ... + 29416181.

It is an arithmetic number, because the mean of its divisors is an integer number (15293302440).

Almost surely, 2^352040052105 is an apocalyptic number.

352040052105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

352040052105 is an abundant number, since it is smaller than the sum of its proper divisors (382038465015).

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

352040052105 is a wasteful number, since it uses less digits than its factorization.

352040052105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58820430 (or 58820427 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 352040052105 its reverse (501250040253), we get a palindrome (853290092358).

The spelling of 352040052105 in words is "three hundred fifty-two billion, forty million, fifty-two thousand, one hundred five".