1980715161601 has 16 divisors (see below), whose sum is σ = 2245254230016. Its totient is φ = 1731024450000.

The previous prime is 1980715161583. The next prime is 1980715161617. The reversal of 1980715161601 is 1061615170891.

It is a cyclic number.

It is not a de Polignac number, because 1980715161601 - 2⁷ = 1980715161473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1980715101601) 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 15 ways as a sum of consecutive naturals, for example, 19182115 + ... + 19285096.

It is an arithmetic number, because the mean of its divisors is an integer number (140328389376).

Almost surely, 2^{1980715161601} is an apocalyptic number.

1980715161601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1980715161601 is a deficient number, since it is larger than the sum of its proper divisors (264539068415).

1980715161601 is a wasteful number, since it uses less digits than its factorization.

1980715161601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38467404.

The product of its (nonzero) digits is 90720, while the sum is 46.

The spelling of 1980715161601 in words is "one trillion, nine hundred eighty billion, seven hundred fifteen million, one hundred sixty-one thousand, six hundred one".