360825601729 has 2 divisors, whose sum is σ = 360825601730. Its totient is φ = 360825601728.

The previous prime is 360825601727. The next prime is 360825601879. The reversal of 360825601729 is 927106528063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 338808977329 + 22016624400 = 582073^2 + 148380^2 .

It is a cyclic number.

It is not a de Polignac number, because 360825601729 - 2¹ = 360825601727 is a prime.

It is a super-2 number, since 2×360825601729² (a number of 24 digits) contains 22 as substring.

Together with 360825601727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (360825601727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180412800864 + 180412800865.

It is an arithmetic number, because the mean of its divisors is an integer number (180412800865).

Almost surely, 2^360825601729 is an apocalyptic number.

It is an amenable number.

360825601729 is a deficient number, since it is larger than the sum of its proper divisors (1).

360825601729 is an equidigital number, since it uses as much as digits as its factorization.

360825601729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 360825601729 in words is "three hundred sixty billion, eight hundred twenty-five million, six hundred one thousand, seven hundred twenty-nine".