982982505001 has 64 divisors (see below), whose sum is σ = 1207996416000. Its totient is φ = 798774395328.

The previous prime is 982982504969. The next prime is 982982505007. The reversal of 982982505001 is 100505289289.

982982505001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 982982505001 - 2⁵ = 982982504969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (982982505007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67491346 + ... + 67505908.

It is an arithmetic number, because the mean of its divisors is an integer number (18874944000).

Almost surely, 2^982982505001 is an apocalyptic number.

It is an amenable number.

982982505001 is a deficient number, since it is larger than the sum of its proper divisors (225013910999).

982982505001 is a wasteful number, since it uses less digits than its factorization.

982982505001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14763 (or 14749 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

The spelling of 982982505001 in words is "nine hundred eighty-two billion, nine hundred eighty-two million, five hundred five thousand, one".