213272610 has 64 divisors (see below), whose sum is σ = 526124160. Its totient is φ = 55308800.

The previous prime is 213272603. The next prime is 213272621. The reversal of 213272610 is 16272312.

213272610 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178174 + ... + 179366.

It is an arithmetic number, because the mean of its divisors is an integer number (8220690).

Almost surely, 2^213272610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213272610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263062080).

213272610 is an abundant number, since it is smaller than the sum of its proper divisors (312851550).

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

213272610 is a wasteful number, since it uses less digits than its factorization.

213272610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 213272610 is about 14603.8559976466. The cubic root of 213272610 is about 597.4639346123.

The spelling of 213272610 in words is "two hundred thirteen million, two hundred seventy-two thousand, six hundred ten".