205345420501 has 16 divisors (see below), whose sum is σ = 229581016560. Its totient is φ = 182362037760.

The previous prime is 205345420493. The next prime is 205345420507. The reversal of 205345420501 is 105024543502.

It can be written as a sum of positive squares in 8 ways, for example, as 2097731601 + 203247688900 = 45801^2 + 450830^2 .

It is a cyclic number.

It is not a de Polignac number, because 205345420501 - 2³ = 205345420493 is a prime.

It is a super-3 number, since 3×205345420501³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205345420507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863250 + ... + 1075123.

It is an arithmetic number, because the mean of its divisors is an integer number (14348813535).

Almost surely, 2^205345420501 is an apocalyptic number.

It is an amenable number.

205345420501 is a deficient number, since it is larger than the sum of its proper divisors (24235596059).

205345420501 is a wasteful number, since it uses less digits than its factorization.

205345420501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938696.

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 205345420501 in words is "two hundred five billion, three hundred forty-five million, four hundred twenty thousand, five hundred one".