213501000 has 64 divisors (see below), whose sum is σ = 666132480. Its totient is φ = 56932800.

The previous prime is 213500941. The next prime is 213501007. The reversal of 213501000 is 105312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (213501007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32584 + ... + 38583.

It is an arithmetic number, because the mean of its divisors is an integer number (10408320).

Almost surely, 2^213501000 is an apocalyptic number.

213501000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213501000 is an abundant number, since it is smaller than the sum of its proper divisors (452631480).

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

213501000 is a wasteful number, since it uses less digits than its factorization.

213501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71191 (or 71177 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 213501000 is about 14611.6734154579. The cubic root of 213501000 is about 597.6771298400.

Adding to 213501000 its reverse (105312), we get a palindrome (213606312).

The spelling of 213501000 in words is "two hundred thirteen million, five hundred one thousand".