973831248001 has 8 divisors (see below), whose sum is σ = 974833646760. Its totient is φ = 972829358592.

The previous prime is 973831247927. The next prime is 973831248109. The reversal of 973831248001 is 100842138379.

973831248001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 180689605776 + 793141642225 = 425076^2 + 890585^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 973831248001 - 2⁹ = 973831247489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973831228001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3759211 + ... + 4009903.

It is an arithmetic number, because the mean of its divisors is an integer number (121854205845).

Almost surely, 2^973831248001 is an apocalyptic number.

It is an amenable number.

973831248001 is a deficient number, since it is larger than the sum of its proper divisors (1002398759).

973831248001 is a wasteful number, since it uses less digits than its factorization.

973831248001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254675.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 973831248001 in words is "nine hundred seventy-three billion, eight hundred thirty-one million, two hundred forty-eight thousand, one".