213513500 has 48 divisors (see below), whose sum is σ = 470564640. Its totient is φ = 84627200.

The previous prime is 213513499. The next prime is 213513551. The reversal of 213513500 is 5315312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54611 + ... + 58389.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2^213513500 is an apocalyptic number.

213513500 is a gapful number since it is divisible by the number (20) 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 213513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

213513500 is an abundant number, since it is smaller than the sum of its proper divisors (257051140).

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

213513500 is a wasteful number, since it uses less digits than its factorization.

213513500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 213513500 is about 14612.1011493898. The cubic root of 213513500 is about 597.6887938264.

Adding to 213513500 its reverse (5315312), we get a palindrome (218828812).

The spelling of 213513500 in words is "two hundred thirteen million, five hundred thirteen thousand, five hundred".