523010576313 has 6 divisors (see below), whose sum is σ = 755459721354. Its totient is φ = 348673717536.

The previous prime is 523010576173. The next prime is 523010576321. The reversal of 523010576313 is 313675010325.

523010576313 is a `hidden beast` number, since 5 + 2 + 3 + 0 + 10 + 5 + 7 + 631 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 286811660304 + 236198916009 = 535548^2 + 486003^2 .

It is not a de Polignac number, because 523010576313 - 2²² = 523006382009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (523010576383) 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, 29056143120 + ... + 29056143137.

It is an arithmetic number, because the mean of its divisors is an integer number (125909953559).

Almost surely, 2^523010576313 is an apocalyptic number.

It is an amenable number.

523010576313 is a deficient number, since it is larger than the sum of its proper divisors (232449145041).

523010576313 is a wasteful number, since it uses less digits than its factorization.

523010576313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58112286263 (or 58112286260 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Adding to 523010576313 its reverse (313675010325), we get a palindrome (836685586638).

The spelling of 523010576313 in words is "five hundred twenty-three billion, ten million, five hundred seventy-six thousand, three hundred thirteen".