205245553412031 has 16 divisors (see below), whose sum is σ = 298599801640320. Its totient is φ = 124365904967520.

The previous prime is 205245553411993. The next prime is 205245553412089. The reversal of 205245553412031 is 130214355542502.

It is not a de Polignac number, because 205245553412031 - 2⁶ = 205245553411967 is a prime.

It is a super-2 number, since 2×205245553412031² (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 (205245553462031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633323665 + ... + 633647658.

It is an arithmetic number, because the mean of its divisors is an integer number (18662487602520).

Almost surely, 2^{205245553412031} is an apocalyptic number.

205245553412031 is a deficient number, since it is larger than the sum of its proper divisors (93354248228289).

205245553412031 is a wasteful number, since it uses less digits than its factorization.

205245553412031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266976246.

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 205245553412031 in words is "two hundred five trillion, two hundred forty-five billion, five hundred fifty-three million, four hundred twelve thousand, thirty-one".