213355205352 has 48 divisors (see below), whose sum is σ = 577894951140. Its totient is φ = 71111271168.

The previous prime is 213355205351. The next prime is 213355205353. The reversal of 213355205352 is 253502553312.

213355205352 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 552 + 0 + 53 + 52 = 666.

213355205352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213355205351) and next prime (213355205353).

It can be written as a sum of positive squares in 2 ways, for example, as 207121471236 + 6233734116 = 455106^2 + 78954^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (213355205351) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 600588 + ... + 887364.

Almost surely, 2^213355205352 is an apocalyptic number.

It is an amenable number.

213355205352 is an abundant number, since it is smaller than the sum of its proper divisors (364539745788).

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

213355205352 is a wasteful number, since it uses less digits than its factorization.

213355205352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297122 (or 297115 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 213355205352 its reverse (253502553312), we get a palindrome (466857758664).

The spelling of 213355205352 in words is "two hundred thirteen billion, three hundred fifty-five million, two hundred five thousand, three hundred fifty-two".