972503561 has 2 divisors, whose sum is σ = 972503562. Its totient is φ = 972503560.

The previous prime is 972503551. The next prime is 972503617. The reversal of 972503561 is 165305279.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 915425536 + 57078025 = 30256^2 + 7555^2 .

It is an emirp because it is prime and its reverse (165305279) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972503561 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (972503551) 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, 486251780 + 486251781.

It is an arithmetic number, because the mean of its divisors is an integer number (486251781).

Almost surely, 2^972503561 is an apocalyptic number.

It is an amenable number.

972503561 is a deficient number, since it is larger than the sum of its proper divisors (1).

972503561 is an equidigital number, since it uses as much as digits as its factorization.

972503561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 972503561 is about 31184.9893538542. The cubic root of 972503561 is about 990.7492070487.

The spelling of 972503561 in words is "nine hundred seventy-two million, five hundred three thousand, five hundred sixty-one".