213140512 has 48 divisors (see below), whose sum is σ = 453344472. Its totient is φ = 98058240.

The previous prime is 213140503. The next prime is 213140519. The reversal of 213140512 is 215041312.

It can be written as a sum of positive squares in 4 ways, for example, as 56490256 + 156650256 = 7516^2 + 12516^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 213140512.

It is not an unprimeable number, because it can be changed into a prime (213140519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174528 + ... + 175744.

Almost surely, 2^213140512 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 213140512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226672236).

213140512 is an abundant number, since it is smaller than the sum of its proper divisors (240203960).

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

213140512 is a wasteful number, since it uses less digits than its factorization.

213140512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 213140512 is about 14599.3325874849. The cubic root of 213140512 is about 597.3405556011.

Adding to 213140512 its reverse (215041312), we get a palindrome (428181824).

The spelling of 213140512 in words is "two hundred thirteen million, one hundred forty thousand, five hundred twelve".