506325456541 has 8 divisors (see below), whose sum is σ = 542007626400. Its totient is φ = 471546632880.

The previous prime is 506325456517. The next prime is 506325456547. The reversal of 506325456541 is 145654523605.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506325456541 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 506325456491 and 506325456500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506325456547) 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 7 ways as a sum of consecutive naturals, for example, 225835390 + ... + 225837631.

It is an arithmetic number, because the mean of its divisors is an integer number (67750953300).

Almost surely, 2^506325456541 is an apocalyptic number.

It is an amenable number.

506325456541 is a deficient number, since it is larger than the sum of its proper divisors (35682169859).

506325456541 is a wasteful number, since it uses less digits than its factorization.

506325456541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451673099.

The product of its (nonzero) digits is 2160000, while the sum is 46.

The spelling of 506325456541 in words is "five hundred six billion, three hundred twenty-five million, four hundred fifty-six thousand, five hundred forty-one".