997082131600 has 45 divisors (see below), whose sum is σ = 2395537801977. Its totient is φ = 398824864320.

The previous prime is 997082131589. The next prime is 997082131657. The reversal of 997082131600 is 6131280799.

It is a happy number.

The square root of 997082131600 is 998540.

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

It can be written as a sum of positive squares in only one way, i.e., 358949567376 + 638132564224 = 599124^2 + 798832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19945837 + ... + 19995763.

Almost surely, 2^997082131600 is an apocalyptic number.

997082131600 is the 998540-th square number.

It is an amenable number.

997082131600 is an abundant number, since it is smaller than the sum of its proper divisors (1398455670377).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

997082131600 is an frugal number, since it uses more digits than its factorization.

997082131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99872 (or 49934 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 997082131600 in words is "nine hundred ninety-seven billion, eighty-two million, one hundred thirty-one thousand, six hundred".