361288751329 has 27 divisors (see below), whose sum is σ = 405146190547. Its totient is φ = 321934698800.

The previous prime is 361288751297. The next prime is 361288751333. The reversal of 361288751329 is 923157882163.

The square root of 361288751329 is 601073.

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., 260452019025 + 100836732304 = 510345^2 + 317548^2 .

It is not a de Polignac number, because 361288751329 - 2⁵ = 361288751297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 361288751329.

It is not an unprimeable number, because it can be changed into a prime (361288751129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 350425044 + ... + 350426074.

Almost surely, 2^361288751329 is an apocalyptic number.

361288751329 is the 601073-rd square number.

361288751329 is the 300537-th centered octagonal number.

It is an amenable number.

361288751329 is a deficient number, since it is larger than the sum of its proper divisors (43857439218).

361288751329 is an frugal number, since it uses more digits than its factorization.

361288751329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 1095 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 361288751329 in words is "three hundred sixty-one billion, two hundred eighty-eight million, seven hundred fifty-one thousand, three hundred twenty-nine".