213208197552 has 240 divisors, whose sum is σ = 704685309952. Its totient is φ = 58887959040.

The previous prime is 213208197551. The next prime is 213208197599. The reversal of 213208197552 is 255791802312.

213208197552 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 0 + 8 + 1 + 97 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213208197498 and 213208197507.

It is not an unprimeable number, because it can be changed into a prime (213208197551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33963438 + ... + 33969714.

Almost surely, 2^213208197552 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 213208197552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352342654976).

213208197552 is an abundant number, since it is smaller than the sum of its proper divisors (491477112400).

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

213208197552 is a wasteful number, since it uses less digits than its factorization.

213208197552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7416 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

Adding to 213208197552 its reverse (255791802312), we get a palindrome (468999999864).

The spelling of 213208197552 in words is "two hundred thirteen billion, two hundred eight million, one hundred ninety-seven thousand, five hundred fifty-two".