523506303201123 has 288 divisors, whose sum is σ = 855448870348800. Its totient is φ = 308196345600000.

The previous prime is 523506303201067. The next prime is 523506303201127. The reversal of 523506303201123 is 321102303605325.

523506303201123 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 0 + 630 + 3 + 2 + 0 + 1 + 12 + 3 = 666.

It is not a de Polignac number, because 523506303201123 - 2⁶ = 523506303201059 is a prime.

It is a super-2 number, since 2×523506303201123² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (523506303201127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 920046226783 + ... + 920046227351.

It is an arithmetic number, because the mean of its divisors is an integer number (2970308577600).

Almost surely, 2^{523506303201123} is an apocalyptic number.

523506303201123 is a deficient number, since it is larger than the sum of its proper divisors (331942567147677).

523506303201123 is a wasteful number, since it uses less digits than its factorization.

523506303201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 523506303201123 its reverse (321102303605325), we get a palindrome (844608606806448).

The spelling of 523506303201123 in words is "five hundred twenty-three trillion, five hundred six billion, three hundred three million, two hundred one thousand, one hundred twenty-three".