205413520 has 80 divisors (see below), whose sum is σ = 516966912. Its totient is φ = 75456000.

The previous prime is 205413487. The next prime is 205413539. The reversal of 205413520 is 25314502.

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

It is a junction number, because it is equal to n+sod(n) for n = 205413491 and 205413500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273145 + ... + 273895.

Almost surely, 2^205413520 is an apocalyptic number.

205413520 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 205413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258483456).

205413520 is an abundant number, since it is smaller than the sum of its proper divisors (311553392).

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

205413520 is a wasteful number, since it uses less digits than its factorization.

205413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 205413520 is about 14332.2545330454. The cubic root of 205413520 is about 590.0330537835.

The spelling of 205413520 in words is "two hundred five million, four hundred thirteen thousand, five hundred twenty".