972051126577 has 2 divisors, whose sum is σ = 972051126578. Its totient is φ = 972051126576.

The previous prime is 972051126503. The next prime is 972051126581. The reversal of 972051126577 is 775621150279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 496673972001 + 475377154576 = 704751^2 + 689476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972051126577 is a prime.

It is a super-2 number, since 2×972051126577² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (972051106577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486025563288 + 486025563289.

It is an arithmetic number, because the mean of its divisors is an integer number (486025563289).

Almost surely, 2^972051126577 is an apocalyptic number.

It is an amenable number.

972051126577 is a deficient number, since it is larger than the sum of its proper divisors (1).

972051126577 is an equidigital number, since it uses as much as digits as its factorization.

972051126577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1852200, while the sum is 52.

The spelling of 972051126577 in words is "nine hundred seventy-two billion, fifty-one million, one hundred twenty-six thousand, five hundred seventy-seven".