81357675982801 has 9 divisors (see below), whose sum is σ = 81948456709353. Its totient is φ = 80771124222180.

The previous prime is 81357675982769. The next prime is 81357675982819. The reversal of 81357675982801 is 10828957675318.

The square root of 81357675982801 is 9019849.

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

It is not a de Polignac number, because 81357675982801 - 2⁵ = 81357675982769 is a prime.

It is a super-2 number, since 2×81357675982801² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81357675982871) 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, 1253726566 + ... + 1253791456.

It is an arithmetic number, because the mean of its divisors is an integer number (9105384078817).

Almost surely, 2^{81357675982801} is an apocalyptic number.

81357675982801 is the 9019849-th square number.

81357675982801 is the 4509925-th centered octagonal number.

It is an amenable number.

81357675982801 is a deficient number, since it is larger than the sum of its proper divisors (590780726552).

81357675982801 is an frugal number, since it uses more digits than its factorization.

81357675982801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130060 (or 65030 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 70.

The spelling of 81357675982801 in words is "eighty-one trillion, three hundred fifty-seven billion, six hundred seventy-five million, nine hundred eighty-two thousand, eight hundred one".