972953000401 has 2 divisors, whose sum is σ = 972953000402. Its totient is φ = 972953000400.

The previous prime is 972953000399. The next prime is 972953000417. The reversal of 972953000401 is 104000359279.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 828602396176 + 144350604225 = 910276^2 + 379935^2 .

It is an emirp because it is prime and its reverse (104000359279) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 972953000401 - 2¹ = 972953000399 is a prime.

Together with 972953000399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (972953000431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486476500200 + 486476500201.

It is an arithmetic number, because the mean of its divisors is an integer number (486476500201).

Almost surely, 2^972953000401 is an apocalyptic number.

It is an amenable number.

972953000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

972953000401 is an equidigital number, since it uses as much as digits as its factorization.

972953000401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 972953000401 in words is "nine hundred seventy-two billion, nine hundred fifty-three million, four hundred one", and thus it is an aban number.