506009748961 has 2 divisors, whose sum is σ = 506009748962. Its totient is φ = 506009748960.

The previous prime is 506009748947. The next prime is 506009748977. The reversal of 506009748961 is 169847900605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 486532755361 + 19476993600 = 697519^2 + 139560^2 .

It is a cyclic number.

It is not a de Polignac number, because 506009748961 - 2⁷ = 506009748833 is a prime.

It is not a weakly prime, because it can be changed into another prime (506009740961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253004874480 + 253004874481.

It is an arithmetic number, because the mean of its divisors is an integer number (253004874481).

Almost surely, 2^506009748961 is an apocalyptic number.

It is an amenable number.

506009748961 is a deficient number, since it is larger than the sum of its proper divisors (1).

506009748961 is an equidigital number, since it uses as much as digits as its factorization.

506009748961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 506009748961 in words is "five hundred six billion, nine million, seven hundred forty-eight thousand, nine hundred sixty-one".