213057280 has 72 divisors (see below), whose sum is σ = 532600992. Its totient is φ = 81506304.

The previous prime is 213057269. The next prime is 213057281. The reversal of 213057280 is 82750312.

213057280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213057281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25822 + ... + 33058.

It is an arithmetic number, because the mean of its divisors is an integer number (7397236).

Almost surely, 2^213057280 is an apocalyptic number.

213057280 is a gapful number since it is divisible by the number (20) 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 213057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266300496).

213057280 is an abundant number, since it is smaller than the sum of its proper divisors (319543712).

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

213057280 is an equidigital number, since it uses as much as digits as its factorization.

213057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7267 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 213057280 is about 14596.4817678782. The cubic root of 213057280 is about 597.2627910602.

The spelling of 213057280 in words is "two hundred thirteen million, fifty-seven thousand, two hundred eighty".