213081264 has 240 divisors, whose sum is σ = 709267104. Its totient is φ = 58982400.

The previous prime is 213081251. The next prime is 213081283. The reversal of 213081264 is 462180312.

213081264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103952 + ... + 1104144.

Almost surely, 2^213081264 is an apocalyptic number.

213081264 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 213081264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354633552).

213081264 is an abundant number, since it is smaller than the sum of its proper divisors (496185840).

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

213081264 is a wasteful number, since it uses less digits than its factorization.

213081264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 213081264 is about 14597.3033125985. The cubic root of 213081264 is about 597.2852016428.

The spelling of 213081264 in words is "two hundred thirteen million, eighty-one thousand, two hundred sixty-four".