213245520 has 80 divisors (see below), whose sum is σ = 662487360. Its totient is φ = 56742912.

The previous prime is 213245519. The next prime is 213245587. The reversal of 213245520 is 25542312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 188316 + ... + 189444.

It is an arithmetic number, because the mean of its divisors is an integer number (8281092).

Almost surely, 2^213245520 is an apocalyptic number.

213245520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213245520 is an abundant number, since it is smaller than the sum of its proper divisors (449241840).

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

213245520 is a wasteful number, since it uses less digits than its factorization.

213245520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 213245520 is about 14602.9284734261. The cubic root of 213245520 is about 597.4386368125.

Adding to 213245520 its reverse (25542312), we get a palindrome (238787832).

The spelling of 213245520 in words is "two hundred thirteen million, two hundred forty-five thousand, five hundred twenty".