205056031 has 2 divisors, whose sum is σ = 205056032. Its totient is φ = 205056030.

The previous prime is 205055959. The next prime is 205056083. The reversal of 205056031 is 130650502.

It is a happy number.

205056031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205056031 - 2¹³ = 205047839 is a prime.

It is a super-3 number, since 3×205056031³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p_11343316 and since 205056031 and 11343316 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 205055993 and 205056011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205056931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102528015 + 102528016.

It is an arithmetic number, because the mean of its divisors is an integer number (102528016).

Almost surely, 2^205056031 is an apocalyptic number.

205056031 is a deficient number, since it is larger than the sum of its proper divisors (1).

205056031 is an equidigital number, since it uses as much as digits as its factorization.

205056031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 205056031 is about 14319.7776169883. Note that the first 3 decimals coincide. The cubic root of 205056031 is about 589.6905693353.

It can be divided in two parts, 2050 and 56031, that added together give a square (58081 = 241²).

The spelling of 205056031 in words is "two hundred five million, fifty-six thousand, thirty-one".