363141363 has 16 divisors (see below), whose sum is σ = 521853696. Its totient is φ = 223291680.

The previous prime is 363141349. The next prime is 363141371.

363141363 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 363141363 - 2¹² = 363137267 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 363141363.

It is not an unprimeable number, because it can be changed into a prime (363141263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58306 + ... + 64232.

It is an arithmetic number, because the mean of its divisors is an integer number (32615856).

Almost surely, 2^363141363 is an apocalyptic number.

363141363 is a deficient number, since it is larger than the sum of its proper divisors (158712333).

363141363 is a wasteful number, since it uses less digits than its factorization.

363141363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514.

The product of its digits is 11664, while the sum is 30.

The square root of 363141363 is about 19056.2683387908. The cubic root of 363141363 is about 713.4418367621.

The spelling of 363141363 in words is "three hundred sixty-three million, one hundred forty-one thousand, three hundred sixty-three".