180164713 has 2 divisors, whose sum is σ = 180164714. Its totient is φ = 180164712.

The previous prime is 180164651. The next prime is 180164723. The reversal of 180164713 is 317461081.

180164713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174979984 + 5184729 = 13228^2 + 2277^2 .

It is a cyclic number.

It is not a de Polignac number, because 180164713 - 2¹³ = 180156521 is a prime.

It is not a weakly prime, because it can be changed into another prime (180164723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90082356 + 90082357.

It is an arithmetic number, because the mean of its divisors is an integer number (90082357).

Almost surely, 2^180164713 is an apocalyptic number.

It is an amenable number.

180164713 is a deficient number, since it is larger than the sum of its proper divisors (1).

180164713 is an equidigital number, since it uses as much as digits as its factorization.

180164713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 180164713 is about 13422.5449524298. The cubic root of 180164713 is about 564.7937880091.

The spelling of 180164713 in words is "one hundred eighty million, one hundred sixty-four thousand, seven hundred thirteen".