8257053973081 has 3 divisors (see below), whose sum is σ = 8257056846591. Its totient is φ = 8257051099572.

The previous prime is 8257053973073. The next prime is 8257053973169. The reversal of 8257053973081 is 1803793507528.

The square root of 8257053973081 is 2873509.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 8251491796681 + 5562176400 = 2872541^2 + 74580^2 .

It is not a de Polignac number, because 8257053973081 - 2³ = 8257053973073 is a prime.

It is a super-3 number, since 3×8257053973081³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8257053973031) 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 2 ways as a sum of consecutive naturals, for example, 1436755 + ... + 4310263.

It is an arithmetic number, because the mean of its divisors is an integer number (2752352282197).

Almost surely, 2^{8257053973081} is an apocalyptic number.

8257053973081 is the 2873509-th square number.

8257053973081 is the 1436755-th centered octagonal number.

It is an amenable number.

8257053973081 is a deficient number, since it is larger than the sum of its proper divisors (2873510).

8257053973081 is an frugal number, since it uses more digits than its factorization.

8257053973081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747018 (or 2873509 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 8257053973081 in words is "eight trillion, two hundred fifty-seven billion, fifty-three million, nine hundred seventy-three thousand, eighty-one".