352205315510130 has 80 divisors (see below), whose sum is σ = 1002749251256280. Its totient is φ = 88396628203008.

The previous prime is 352205315510129. The next prime is 352205315510141. The reversal of 352205315510130 is 31015513502253.

352205315510130 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 0 + 5 + 3 + 1 + 5 + 510 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327488777415801 + 24716538094329 = 18096651^2 + 4971573^2 .

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 39 ways as a sum of consecutive naturals, for example, 12788850265 + ... + 12788877804.

Almost surely, 2^{352205315510130} is an apocalyptic number.

352205315510130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

352205315510130 is an abundant number, since it is smaller than the sum of its proper divisors (650543935746150).

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

352205315510130 is a wasteful number, since it uses less digits than its factorization.

352205315510130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25577728105 (or 25577728096 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 352205315510130 in words is "three hundred fifty-two trillion, two hundred five billion, three hundred fifteen million, five hundred ten thousand, one hundred thirty".