506624976001 has 2 divisors, whose sum is σ = 506624976002. Its totient is φ = 506624976000.

The previous prime is 506624975993. The next prime is 506624976019. The reversal of 506624976001 is 100679426605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 440550787600 + 66074188401 = 663740^2 + 257049^2 .

It is a cyclic number.

It is not a de Polignac number, because 506624976001 - 2³ = 506624975993 is a prime.

It is not a weakly prime, because it can be changed into another prime (506624976071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253312488000 + 253312488001.

It is an arithmetic number, because the mean of its divisors is an integer number (253312488001).

Almost surely, 2^506624976001 is an apocalyptic number.

It is an amenable number.

506624976001 is a deficient number, since it is larger than the sum of its proper divisors (1).

506624976001 is an equidigital number, since it uses as much as digits as its factorization.

506624976001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 506624976001 in words is "five hundred six billion, six hundred twenty-four million, nine hundred seventy-six thousand, one".