205332413 has 32 divisors (see below), whose sum is σ = 247750272. Its totient is φ = 167731200.

The previous prime is 205332403. The next prime is 205332419. The reversal of 205332413 is 314233502.

It is not a de Polignac number, because 205332413 - 2⁸ = 205332157 is a prime.

It is a super-2 number, since 2×205332413² = 84322799656805138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205332419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567358 + ... + 1567488.

It is an arithmetic number, because the mean of its divisors is an integer number (7742196).

Almost surely, 2^205332413 is an apocalyptic number.

It is an amenable number.

205332413 is a deficient number, since it is larger than the sum of its proper divisors (42417859).

205332413 is a wasteful number, since it uses less digits than its factorization.

205332413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 205332413 is about 14329.4247267642. The cubic root of 205332413 is about 589.9553858825.

Adding to 205332413 its reverse (314233502), we get a palindrome (519565915).

The spelling of 205332413 in words is "two hundred five million, three hundred thirty-two thousand, four hundred thirteen".