507072732097 has 2 divisors, whose sum is σ = 507072732098. Its totient is φ = 507072732096.

The previous prime is 507072732043. The next prime is 507072732109. The reversal of 507072732097 is 790237270705.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273864869041 + 233207863056 = 523321^2 + 482916^2 .

It is a cyclic number.

It is not a de Polignac number, because 507072732097 - 2³⁵ = 472712993729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 507072732097.

It is not a weakly prime, because it can be changed into another prime (507072735097) 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 as a sum of consecutive naturals, namely, 253536366048 + 253536366049.

It is an arithmetic number, because the mean of its divisors is an integer number (253536366049).

Almost surely, 2^507072732097 is an apocalyptic number.

It is an amenable number.

507072732097 is a deficient number, since it is larger than the sum of its proper divisors (1).

507072732097 is an equidigital number, since it uses as much as digits as its factorization.

507072732097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296540, while the sum is 49.

The spelling of 507072732097 in words is "five hundred seven billion, seventy-two million, seven hundred thirty-two thousand, ninety-seven".