981587544001 has 9 divisors (see below), whose sum is σ = 985917245859. Its totient is φ = 977276786400.

The previous prime is 981587543999. The next prime is 981587544043. The reversal of 981587544001 is 100445785189.

The square root of 981587544001 is 990751.

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

It can be written as a sum of positive squares in only one way, i.e., 738222921601 + 243364622400 = 859199^2 + 493320^2 .

It is not a de Polignac number, because 981587544001 - 2¹ = 981587543999 is a prime.

It is a super-2 number, since 2×981587544001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 981587544001.

It is not an unprimeable number, because it can be changed into a prime (981587544101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 238768936 + ... + 238773046.

It is an arithmetic number, because the mean of its divisors is an integer number (109546360651).

Almost surely, 2^981587544001 is an apocalyptic number.

981587544001 is the 990751-st square number.

981587544001 is the 495376-th centered octagonal number.

It is an amenable number.

981587544001 is a deficient number, since it is larger than the sum of its proper divisors (4329701858).

981587544001 is an frugal number, since it uses more digits than its factorization.

981587544001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 52.

The spelling of 981587544001 in words is "nine hundred eighty-one billion, five hundred eighty-seven million, five hundred forty-four thousand, one".