971893257761 has 12 divisors (see below), whose sum is σ = 1051906161852. Its totient is φ = 897464126208.

The previous prime is 971893257749. The next prime is 971893257767. The reversal of 971893257761 is 167752398179.

It can be written as a sum of positive squares in 6 ways, for example, as 231529380625 + 740363877136 = 481175^2 + 860444^2 .

It is not a de Polignac number, because 971893257761 - 2³⁸ = 697015350817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (971893257767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31710650 + ... + 31741283.

It is an arithmetic number, because the mean of its divisors is an integer number (87658846821).

Almost surely, 2^971893257761 is an apocalyptic number.

It is an amenable number.

971893257761 is a deficient number, since it is larger than the sum of its proper divisors (80012904091).

971893257761 is a wasteful number, since it uses less digits than its factorization.

971893257761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63452020 (or 63452003 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 65.

The spelling of 971893257761 in words is "nine hundred seventy-one billion, eight hundred ninety-three million, two hundred fifty-seven thousand, seven hundred sixty-one".