205131530155104 has 144 divisors (see below), whose sum is σ = 666721252334592. Its totient is φ = 58605159884544.

The previous prime is 205131530155081. The next prime is 205131530155109. The reversal of 205131530155104 is 401551035131502.

205131530155104 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 3 + 1 + 530 + 15 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205131530155109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27436927 + ... + 34103489.

It is an arithmetic number, because the mean of its divisors is an integer number (4630008696768).

Almost surely, 2^{205131530155104} is an apocalyptic number.

205131530155104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205131530155104 is an abundant number, since it is smaller than the sum of its proper divisors (461589722179488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205131530155104 is a wasteful number, since it uses less digits than its factorization.

205131530155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6681849 (or 6681838 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 205131530155104 its reverse (401551035131502), we get a palindrome (606682565286606).

The spelling of 205131530155104 in words is "two hundred five trillion, one hundred thirty-one billion, five hundred thirty million, one hundred fifty-five thousand, one hundred four".