213509296 has 80 divisors (see below), whose sum is σ = 555464448. Its totient is φ = 76780800.

The previous prime is 213509293. The next prime is 213509311. The reversal of 213509296 is 692905312.

213509296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213509291) 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, 9351 + ... + 22681.

Almost surely, 2^213509296 is an apocalyptic number.

213509296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213509296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277732224).

213509296 is an abundant number, since it is smaller than the sum of its proper divisors (341955152).

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

213509296 is a wasteful number, since it uses less digits than its factorization.

213509296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13370 (or 13364 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 213509296 is about 14611.9572953113. The cubic root of 213509296 is about 597.6848710453.

The spelling of 213509296 in words is "two hundred thirteen million, five hundred nine thousand, two hundred ninety-six".