523040131633113 has 6 divisors (see below), whose sum is σ = 755502412358954. Its totient is φ = 348693421088736.

The previous prime is 523040131633109. The next prime is 523040131633121. The reversal of 523040131633113 is 311336131040325.

It is a happy number.

523040131633113 is a `hidden beast` number, since 5 + 2 + 3 + 0 + 4 + 0 + 1 + 3 + 1 + 633 + 1 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 508412168712009 + 14627962921104 = 22547997^2 + 3824652^2 .

It is not a de Polignac number, because 523040131633113 - 2² = 523040131633109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (523040131633163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29057785090720 + ... + 29057785090737.

Almost surely, 2^{523040131633113} is an apocalyptic number.

It is an amenable number.

523040131633113 is a deficient number, since it is larger than the sum of its proper divisors (232462280725841).

523040131633113 is a wasteful number, since it uses less digits than its factorization.

523040131633113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58115570181463 (or 58115570181460 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 523040131633113 its reverse (311336131040325), we get a palindrome (834376262673438).

The spelling of 523040131633113 in words is "five hundred twenty-three trillion, forty billion, one hundred thirty-one million, six hundred thirty-three thousand, one hundred thirteen".