213605010 has 96 divisors (see below), whose sum is σ = 578672640. Its totient is φ = 54601344.

The previous prime is 213604997. The next prime is 213605069. The reversal of 213605010 is 10506312.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 581847 + ... + 582213.

It is an arithmetic number, because the mean of its divisors is an integer number (6027840).

Almost surely, 2^213605010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213605010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289336320).

213605010 is an abundant number, since it is smaller than the sum of its proper divisors (365067630).

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

213605010 is a wasteful number, since it uses less digits than its factorization.

213605010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 213605010 is about 14615.2321226862. The cubic root of 213605010 is about 597.7741696762.

The spelling of 213605010 in words is "two hundred thirteen million, six hundred five thousand, ten".