979801042801 has 15 divisors (see below), whose sum is σ = 1143089789003. Its totient is φ = 839787891600.

The previous prime is 979801042709. The next prime is 979801042817. The reversal of 979801042801 is 108240108979.

The square root of 979801042801 is 989849.

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., 97002801 + 979704040000 = 9849^2 + 989800^2 .

It is not a de Polignac number, because 979801042801 - 2⁷ = 979801042673 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 (979801042861) 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 14 ways as a sum of consecutive naturals, for example, 48492501 + ... + 48512701.

Almost surely, 2^979801042801 is an apocalyptic number.

979801042801 is the 989849-th square number.

979801042801 is the 494925-th centered octagonal number.

It is an amenable number.

979801042801 is a deficient number, since it is larger than the sum of its proper divisors (163288746202).

979801042801 is an frugal number, since it uses more digits than its factorization.

979801042801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40430 (or 20208 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

Multiplying 979801042801 by its sum of digits (49), we get a square (48010251097249 = 6928943²).

979801042801 divided by its sum of digits (49) gives a square (19995939649 = 141407²).

The spelling of 979801042801 in words is "nine hundred seventy-nine billion, eight hundred one million, forty-two thousand, eight hundred one".