205633004315541 has 32 divisors (see below), whose sum is σ = 300071528640000. Its totient is φ = 124222750370880.

The previous prime is 205633004315539. The next prime is 205633004315591. The reversal of 205633004315541 is 145513400336502.

It is a happy number.

It is not a de Polignac number, because 205633004315541 - 2¹ = 205633004315539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205633004315493 and 205633004315502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205633004315591) 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 31 ways as a sum of consecutive naturals, for example, 13899510 + ... + 24585816.

It is an arithmetic number, because the mean of its divisors is an integer number (9377235270000).

Almost surely, 2^{205633004315541} is an apocalyptic number.

It is an amenable number.

205633004315541 is a deficient number, since it is larger than the sum of its proper divisors (94438524324459).

205633004315541 is a wasteful number, since it uses less digits than its factorization.

205633004315541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688209.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 205633004315541 in words is "two hundred five trillion, six hundred thirty-three billion, four million, three hundred fifteen thousand, five hundred forty-one".