213901506 has 256 divisors, whose sum is σ = 645120000. Its totient is φ = 50948352.

The previous prime is 213901489. The next prime is 213901507. The reversal of 213901506 is 605109312.

213901506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 213901506.

It is not an unprimeable number, because it can be changed into a prime (213901507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2707575 + ... + 2707653.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2^213901506 is an apocalyptic number.

213901506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213901506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560000).

213901506 is an abundant number, since it is smaller than the sum of its proper divisors (431218494).

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

213901506 is a wasteful number, since it uses less digits than its factorization.

213901506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 213901506 is about 14625.3719952690. The cubic root of 213901506 is about 598.0506234106.

The spelling of 213901506 in words is "two hundred thirteen million, nine hundred one thousand, five hundred six".