972506146033 has 2 divisors, whose sum is σ = 972506146034. Its totient is φ = 972506146032.

The previous prime is 972506145979. The next prime is 972506146037. The reversal of 972506146033 is 330641605279.

972506146033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 961599894544 + 10906251489 = 980612^2 + 104433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972506146033 is a prime.

It is not a weakly prime, because it can be changed into another prime (972506146037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486253073016 + 486253073017.

It is an arithmetic number, because the mean of its divisors is an integer number (486253073017).

Almost surely, 2^972506146033 is an apocalyptic number.

It is an amenable number.

972506146033 is a deficient number, since it is larger than the sum of its proper divisors (1).

972506146033 is an equidigital number, since it uses as much as digits as its factorization.

972506146033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 972506146033 in words is "nine hundred seventy-two billion, five hundred six million, one hundred forty-six thousand, thirty-three".