180306629 has 2 divisors, whose sum is σ = 180306630. Its totient is φ = 180306628.

The previous prime is 180306517. The next prime is 180306631. The reversal of 180306629 is 926603081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136773025 + 43533604 = 11695^2 + 6598^2 .

It is a cyclic number.

It is not a de Polignac number, because 180306629 - 2¹⁶ = 180241093 is a prime.

It is a super-2 number, since 2×180306629² = 65020960922687282, which contains 22 as substring.

Together with 180306631, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180306649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90153314 + 90153315.

It is an arithmetic number, because the mean of its divisors is an integer number (90153315).

Almost surely, 2^180306629 is an apocalyptic number.

It is an amenable number.

180306629 is a deficient number, since it is larger than the sum of its proper divisors (1).

180306629 is an equidigital number, since it uses as much as digits as its factorization.

180306629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 180306629 is about 13427.8303906476. The cubic root of 180306629 is about 564.9420453777.

The spelling of 180306629 in words is "one hundred eighty million, three hundred six thousand, six hundred twenty-nine".