205213520 has 40 divisors (see below), whose sum is σ = 479302656. Its totient is φ = 81710208.

The previous prime is 205213513. The next prime is 205213523. The reversal of 205213520 is 25312502.

205213520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×205213520² = 84225177581580800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 205213492 and 205213501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205213523) 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, 12089 + ... + 23591.

Almost surely, 2^205213520 is an apocalyptic number.

205213520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205213520 is an abundant number, since it is smaller than the sum of its proper divisors (274089136).

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

205213520 is a wasteful number, since it uses less digits than its factorization.

205213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11739 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205213520 is about 14325.2755645398. The cubic root of 205213520 is about 589.8414972096.

The spelling of 205213520 in words is "two hundred five million, two hundred thirteen thousand, five hundred twenty".