997299825201 has 27 divisors (see below), whose sum is σ = 1495995075211. Its totient is φ = 664812623088.

The previous prime is 997299825191. The next prime is 997299825211. The reversal of 997299825201 is 102528992799.

The square root of 997299825201 is 998649.

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

997299825201 is a `hidden beast` number, since 9 + 9 + 7 + 29 + 9 + 82 + 520 + 1 = 666.

997299825201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (997299825191) and next prime (997299825211).

It can be written as a sum of positive squares in only one way, i.e., 1455498801 + 995844326400 = 38151^2 + 997920^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 997299825201 - 2⁵ = 997299825169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (997299825211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80884405 + ... + 80896733.

Almost surely, 2^997299825201 is an apocalyptic number.

997299825201 is the 998649-th square number.

997299825201 is the 499325-th centered octagonal number.

It is an amenable number.

997299825201 is a deficient number, since it is larger than the sum of its proper divisors (498695250010).

997299825201 is an frugal number, since it uses more digits than its factorization.

997299825201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24682 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

It can be divided in two parts, 997299 and 825201, that added together give a square (1822500 = 1350²).

The spelling of 997299825201 in words is "nine hundred ninety-seven billion, two hundred ninety-nine million, eight hundred twenty-five thousand, two hundred one".