213045536 has 48 divisors (see below), whose sum is σ = 463887648. Its totient is φ = 95500800.

The previous prime is 213045533. The next prime is 213045551. The reversal of 213045536 is 635540312.

It is a junction number, because it is equal to n+sod(n) for n = 213045499 and 213045508.

It is not an unprimeable number, because it can be changed into a prime (213045533) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21551 + ... + 29841.

It is an arithmetic number, because the mean of its divisors is an integer number (9664326).

Almost surely, 2^213045536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231943824).

213045536 is an abundant number, since it is smaller than the sum of its proper divisors (250842112).

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

213045536 is a wasteful number, since it uses less digits than its factorization.

213045536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 213045536 is about 14596.0794736121. The cubic root of 213045536 is about 597.2518168860.

Adding to 213045536 its reverse (635540312), we get a palindrome (848585848).

The spelling of 213045536 in words is "two hundred thirteen million, forty-five thousand, five hundred thirty-six".