205801029 has 48 divisors (see below), whose sum is σ = 349648000. Its totient is φ = 116593344.

The previous prime is 205801009. The next prime is 205801039. The reversal of 205801029 is 920108502.

It is not a de Polignac number, because 205801029 - 2⁸ = 205800773 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205800993 and 205801011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205801009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502977 + ... + 503385.

Almost surely, 2^205801029 is an apocalyptic number.

It is an amenable number.

205801029 is a deficient number, since it is larger than the sum of its proper divisors (143846971).

205801029 is a wasteful number, since it uses less digits than its factorization.

205801029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 205801029 is about 14345.7669366263. The cubic root of 205801029 is about 590.4038497144.

It can be divided in two parts, 20580 and 1029, that added together give a square (21609 = 147²).

The spelling of 205801029 in words is "two hundred five million, eight hundred one thousand, twenty-nine".