180413729 has 2 divisors, whose sum is σ = 180413730. Its totient is φ = 180413728.

The previous prime is 180413719. The next prime is 180413747. The reversal of 180413729 is 927314081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174900625 + 5513104 = 13225^2 + 2348^2 .

It is a cyclic number.

It is not a de Polignac number, because 180413729 - 2⁴ = 180413713 is a prime.

It is a super-2 number, since 2×180413729² = 65098227223370882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (180413719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90206864 + 90206865.

It is an arithmetic number, because the mean of its divisors is an integer number (90206865).

Almost surely, 2^180413729 is an apocalyptic number.

It is an amenable number.

180413729 is a deficient number, since it is larger than the sum of its proper divisors (1).

180413729 is an equidigital number, since it uses as much as digits as its factorization.

180413729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 180413729 is about 13431.8177846485. The cubic root of 180413729 is about 565.0538795304.

The spelling of 180413729 in words is "one hundred eighty million, four hundred thirteen thousand, seven hundred twenty-nine".