205253042051301 has 16 divisors (see below), whose sum is σ = 274035109462848. Its totient is φ = 136653174262400.

The previous prime is 205253042051297. The next prime is 205253042051311. The reversal of 205253042051301 is 103150240352502.

205253042051301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 205253042051301 - 2² = 205253042051297 is a prime.

It is a super-2 number, since 2×205253042051301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205253042051311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135705115 + ... + 137209271.

It is an arithmetic number, because the mean of its divisors is an integer number (17127194341428).

Almost surely, 2^{205253042051301} is an apocalyptic number.

It is an amenable number.

205253042051301 is a deficient number, since it is larger than the sum of its proper divisors (68782067411547).

205253042051301 is a wasteful number, since it uses less digits than its factorization.

205253042051301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564692.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 205253042051301 in words is "two hundred five trillion, two hundred fifty-three billion, forty-two million, fifty-one thousand, three hundred one".