972581057729 has 2 divisors, whose sum is σ = 972581057730. Its totient is φ = 972581057728.

The previous prime is 972581057687. The next prime is 972581057731. The reversal of 972581057729 is 927750185279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 898944808129 + 73636249600 = 948127^2 + 271360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972581057729 is a prime.

Together with 972581057731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (972581057759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486290528864 + 486290528865.

It is an arithmetic number, because the mean of its divisors is an integer number (486290528865).

Almost surely, 2^972581057729 is an apocalyptic number.

It is an amenable number.

972581057729 is a deficient number, since it is larger than the sum of its proper divisors (1).

972581057729 is an equidigital number, since it uses as much as digits as its factorization.

972581057729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22226400, while the sum is 62.

The spelling of 972581057729 in words is "nine hundred seventy-two billion, five hundred eighty-one million, fifty-seven thousand, seven hundred twenty-nine".