213513520 has 40 divisors (see below), whose sum is σ = 541550160. Its totient is φ = 77640960.

The previous prime is 213513499. The next prime is 213513551. The reversal of 213513520 is 25315312.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213513491 and 213513500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120435 + ... + 122194.

It is an arithmetic number, because the mean of its divisors is an integer number (13538754).

Almost surely, 2^213513520 is an apocalyptic number.

213513520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213513520 is an abundant number, since it is smaller than the sum of its proper divisors (328036640).

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

213513520 is a wasteful number, since it uses less digits than its factorization.

213513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242653 (or 242647 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 213513520 is about 14612.1018337541. The cubic root of 213513520 is about 597.6888124885.

Adding to 213513520 its reverse (25315312), we get a palindrome (238828832).

The spelling of 213513520 in words is "two hundred thirteen million, five hundred thirteen thousand, five hundred twenty".