513138261041 has 6 divisors (see below), whose sum is σ = 596915936370. Its totient is φ = 439832795136.

The previous prime is 513138261029. The next prime is 513138261059. The reversal of 513138261041 is 140162831315.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 438073220641 + 75065040400 = 661871^2 + 273980^2 .

It is not a de Polignac number, because 513138261041 - 2³⁸ = 238260354097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513138260992 and 513138261010.

It is not an unprimeable number, because it can be changed into a prime (513138261091) 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 5 ways as a sum of consecutive naturals, for example, 5236104656 + ... + 5236104753.

It is an arithmetic number, because the mean of its divisors is an integer number (99485989395).

Almost surely, 2^513138261041 is an apocalyptic number.

It is an amenable number.

513138261041 is a deficient number, since it is larger than the sum of its proper divisors (83777675329).

513138261041 is a wasteful number, since it uses less digits than its factorization.

513138261041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472209423 (or 10472209416 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 513138261041 in words is "five hundred thirteen billion, one hundred thirty-eight million, two hundred sixty-one thousand, forty-one".