213505509294 has 96 divisors (see below), whose sum is σ = 576918800640. Its totient is φ = 55438992000.

The previous prime is 213505509293. The next prime is 213505509377. The reversal of 213505509294 is 492905505312.

213505509294 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 0 + 550 + 9 + 2 + 94 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213505509293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4869369 + ... + 4913019.

It is an arithmetic number, because the mean of its divisors is an integer number (6009570840).

Almost surely, 2^213505509294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213505509294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288459400320).

213505509294 is an abundant number, since it is smaller than the sum of its proper divisors (363413291346).

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

213505509294 is a wasteful number, since it uses less digits than its factorization.

213505509294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47206 (or 47203 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 213505509294 in words is "two hundred thirteen billion, five hundred five million, five hundred nine thousand, two hundred ninety-four".