513819256041 has 192 divisors, whose sum is σ = 995421306880. Its totient is φ = 247760156160.

The previous prime is 513819256031. The next prime is 513819256081. The reversal of 513819256041 is 140652918315.

It is a happy number.

513819256041 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 19 + 25 + 604 + 1 = 666.

It is not a de Polignac number, because 513819256041 - 2⁷ = 513819255913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513819256021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191507886 + ... + 191510568.

Almost surely, 2^513819256041 is an apocalyptic number.

It is an amenable number.

513819256041 is a deficient number, since it is larger than the sum of its proper divisors (481602050839).

513819256041 is a wasteful number, since it uses less digits than its factorization.

513819256041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 513819256041 in words is "five hundred thirteen billion, eight hundred nineteen million, two hundred fifty-six thousand, forty-one".