213537026304 has 450 divisors, whose sum is σ = 742979226990. Its totient is φ = 60996354048.

The previous prime is 213537026303. The next prime is 213537026309. The reversal of 213537026304 is 403620735312.

213537026304 is a `hidden beast` number, since 2 + 13 + 5 + 3 + 7 + 0 + 2 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210350649600 + 3186376704 = 458640^2 + 56448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213537026303) 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 49 ways as a sum of consecutive naturals, for example, 49784992 + ... + 49789280.

Almost surely, 2^213537026304 is an apocalyptic number.

213537026304 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 213537026304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371489613495).

213537026304 is an abundant number, since it is smaller than the sum of its proper divisors (529442200686).

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

213537026304 is an frugal number, since it uses more digits than its factorization.

213537026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 213537026304 in words is "two hundred thirteen billion, five hundred thirty-seven million, twenty-six thousand, three hundred four".