350205420213 has 32 divisors (see below), whose sum is σ = 566610278400. Its totient is φ = 212012564400.

The previous prime is 350205420163. The next prime is 350205420223. The reversal of 350205420213 is 312024502053.

It is a happy number.

350205420213 is a `hidden beast` number, since 3 + 5 + 0 + 20 + 5 + 420 + 213 = 666.

It is not a de Polignac number, because 350205420213 - 2³⁶ = 281485943477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350205420223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376603 + ... + 917736.

It is an arithmetic number, because the mean of its divisors is an integer number (17706571200).

Almost surely, 2^350205420213 is an apocalyptic number.

350205420213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

350205420213 is a deficient number, since it is larger than the sum of its proper divisors (216404858187).

350205420213 is a wasteful number, since it uses less digits than its factorization.

350205420213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295270 (or 1295264 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 350205420213 its reverse (312024502053), we get a palindrome (662229922266).

The spelling of 350205420213 in words is "three hundred fifty billion, two hundred five million, four hundred twenty thousand, two hundred thirteen".