363029145361 has 9 divisors (see below), whose sum is σ = 364699115643. Its totient is φ = 361366795440.

The previous prime is 363029145331. The next prime is 363029145371. The reversal of 363029145361 is 163541920363.

The square root of 363029145361 is 602519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 287946961 + 362741198400 = 16969^2 + 602280^2 .

It is not a de Polignac number, because 363029145361 - 2²³ = 363020756753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363029145331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144000781 + ... + 144003301.

Almost surely, 2^363029145361 is an apocalyptic number.

363029145361 is the 602519-th square number.

363029145361 is the 301260-th centered octagonal number.

It is an amenable number.

363029145361 is a deficient number, since it is larger than the sum of its proper divisors (1669970282).

363029145361 is an frugal number, since it uses more digits than its factorization.

363029145361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 363029145361 in words is "three hundred sixty-three billion, twenty-nine million, one hundred forty-five thousand, three hundred sixty-one".