180880940601 has 9 divisors (see below), whose sum is σ = 261274312741. Its totient is φ = 120586443132.

The previous prime is 180880940579. The next prime is 180880940623. The reversal of 180880940601 is 106049088081.

The square root of 180880940601 is 425301.

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

It is an interprime number because it is at equal distance from previous prime (180880940579) and next prime (180880940623).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 180880940601 - 2⁹ = 180880940089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180880941601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1205020 + ... + 1346786.

Almost surely, 2^180880940601 is an apocalyptic number.

180880940601 is the 425301-st square number.

180880940601 is the 212651-st centered octagonal number.

It is an amenable number.

180880940601 is a deficient number, since it is larger than the sum of its proper divisors (80393372140).

180880940601 is an frugal number, since it uses more digits than its factorization.

180880940601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283540 (or 141770 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

It can be divided in two parts, 180880 and 940601, that added together give a square (1121481 = 1059²).

The spelling of 180880940601 in words is "one hundred eighty billion, eight hundred eighty million, nine hundred forty thousand, six hundred one".