205413431 has 8 divisors (see below), whose sum is σ = 217623024. Its totient is φ = 193217920.

The previous prime is 205413407. The next prime is 205413457. The reversal of 205413431 is 134314502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205413431 - 2⁶ = 205413367 is a prime.

It is a super-2 number, since 2×205413431² = 84389355270383522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205413397 and 205413406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205413031) 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, 49181 + ... + 53193.

It is an arithmetic number, because the mean of its divisors is an integer number (27202878).

Almost surely, 2^205413431 is an apocalyptic number.

205413431 is a deficient number, since it is larger than the sum of its proper divisors (12209593).

205413431 is a wasteful number, since it uses less digits than its factorization.

205413431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 205413431 is about 14332.2514281602. The cubic root of 205413431 is about 590.0329685685.

Adding to 205413431 its reverse (134314502), we get a palindrome (339727933).

The spelling of 205413431 in words is "two hundred five million, four hundred thirteen thousand, four hundred thirty-one".