2097141318801 has 9 divisors (see below), whose sum is σ = 3029210402491. Its totient is φ = 1398091316232.

The previous prime is 2097141318761. The next prime is 2097141318809. The reversal of 2097141318801 is 1088131417902.

It is a happy number.

The square root of 2097141318801 is 1448151.

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., 1376808890625 + 720332428176 = 1173375^2 + 848724^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2097141318801 - 2¹⁹ = 2097140794513 is a prime.

It is a super-2 number, since 2×2097141318801² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2097141318809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4103095 + ... + 4585811.

Almost surely, 2^{2097141318801} is an apocalyptic number.

2097141318801 is the 1448151-st square number.

2097141318801 is the 724076-th centered octagonal number.

It is an amenable number.

2097141318801 is a deficient number, since it is larger than the sum of its proper divisors (932069083690).

2097141318801 is an frugal number, since it uses more digits than its factorization.

2097141318801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965440 (or 482720 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 2097141318801 in words is "two trillion, ninety-seven billion, one hundred forty-one million, three hundred eighteen thousand, eight hundred one".