523313502000531 has 48 divisors (see below), whose sum is σ = 767562410049792. Its totient is φ = 316906402760640.

The previous prime is 523313502000503. The next prime is 523313502000613. The reversal of 523313502000531 is 135000205313325.

It is not a de Polignac number, because 523313502000531 - 2¹⁹ = 523313501476243 is a prime.

It is a super-2 number, since 2×523313502000531² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 523313502000492 and 523313502000501.

It is not an unprimeable number, because it can be changed into a prime (523313502080531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9572722260 + ... + 9572776926.

It is an arithmetic number, because the mean of its divisors is an integer number (15990883542704).

Almost surely, 2^{523313502000531} is an apocalyptic number.

523313502000531 is a deficient number, since it is larger than the sum of its proper divisors (244248908049261).

523313502000531 is a wasteful number, since it uses less digits than its factorization.

523313502000531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75272 (or 75261 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 523313502000531 its reverse (135000205313325), we get a palindrome (658313707313856).

The spelling of 523313502000531 in words is "five hundred twenty-three trillion, three hundred thirteen billion, five hundred two million, five hundred thirty-one", and thus it is an aban number.