213830303652 has 1200 divisors, whose sum is σ = 778921799040. Its totient is φ = 50697529344.

The previous prime is 213830303639. The next prime is 213830303693. The reversal of 213830303652 is 256303038312.

213830303652 is a `hidden beast` number, since 213 + 83 + 0 + 3 + 0 + 365 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 5779197378 + ... + 5779197414.

Almost surely, 2^213830303652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213830303652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389460899520).

213830303652 is an abundant number, since it is smaller than the sum of its proper divisors (565091495388).

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

213830303652 is a wasteful number, since it uses less digits than its factorization.

213830303652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 213830303652 in words is "two hundred thirteen billion, eight hundred thirty million, three hundred three thousand, six hundred fifty-two".