213526555704 has 512 divisors, whose sum is σ = 762122649600. Its totient is φ = 53774461440.

The previous prime is 213526555699. The next prime is 213526555717. The reversal of 213526555704 is 407555625312.

It is a happy number.

213526555704 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 26 + 55 + 570 + 4 = 666.

213526555704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213526555704.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 287383957 + ... + 287384699.

It is an arithmetic number, because the mean of its divisors is an integer number (1488520800).

Almost surely, 2^213526555704 is an apocalyptic number.

213526555704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213526555704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381061324800).

213526555704 is an abundant number, since it is smaller than the sum of its proper divisors (548596093896).

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

213526555704 is a wasteful number, since it uses less digits than its factorization.

213526555704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The spelling of 213526555704 in words is "two hundred thirteen billion, five hundred twenty-six million, five hundred fifty-five thousand, seven hundred four".