973507822225 has 27 divisors (see below), whose sum is σ = 1237567619379. Its totient is φ = 759653116800.

The previous prime is 973507822211. The next prime is 973507822229. The reversal of 973507822225 is 522228705379.

The square root of 973507822225 is 986665.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 865303667089 + 108204155136 = 930217^2 + 328944^2 .

It is not a de Polignac number, because 973507822225 - 2¹⁹ = 973507297937 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973507822229) 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 in 26 ways as a sum of consecutive naturals, for example, 202263919 + ... + 202268731.

Almost surely, 2^973507822225 is an apocalyptic number.

973507822225 is the 986665-th square number.

973507822225 is the 493333-rd centered octagonal number.

It is an amenable number.

973507822225 is a deficient number, since it is larger than the sum of its proper divisors (264059797154).

973507822225 is an frugal number, since it uses more digits than its factorization.

973507822225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9718 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 973507822225 in words is "nine hundred seventy-three billion, five hundred seven million, eight hundred twenty-two thousand, two hundred twenty-five".