1997131413601 has 9 divisors (see below), whose sum is σ = 2068415170003. Its totient is φ = 1928225243560.

The previous prime is 1997131413523. The next prime is 1997131413611. The reversal of 1997131413601 is 1063141317991.

The square root of 1997131413601 is 1413199.

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., 1047247269201 + 949884144400 = 1023351^2 + 974620^2 .

It is not a de Polignac number, because 1997131413601 - 2²³ = 1997123024993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1997131413611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40958406 + ... + 41007136.

Almost surely, 2^{1997131413601} is an apocalyptic number.

1997131413601 is the 1413199-th square number.

1997131413601 is the 706600-th centered octagonal number.

It is an amenable number.

1997131413601 is a deficient number, since it is larger than the sum of its proper divisors (71283756402).

1997131413601 is an frugal number, since it uses more digits than its factorization.

1997131413601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97520 (or 48760 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The spelling of 1997131413601 in words is "one trillion, nine hundred ninety-seven billion, one hundred thirty-one million, four hundred thirteen thousand, six hundred one".