363072528025 has 9 divisors (see below), whose sum is σ = 450213670623. Its totient is φ = 290455612200.

The previous prime is 363072528017. The next prime is 363072528029. The reversal of 363072528025 is 520825270363.

The square root of 363072528025 is 602555.

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., 130706110089 + 232366417936 = 361533^2 + 482044^2 .

It is not a de Polignac number, because 363072528025 - 2³ = 363072528017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363072528029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2952520 + ... + 3073030.

Almost surely, 2^363072528025 is an apocalyptic number.

363072528025 is the 602555-th square number.

363072528025 is the 301278-th centered octagonal number.

It is an amenable number.

363072528025 is a deficient number, since it is larger than the sum of its proper divisors (87141142598).

363072528025 is an frugal number, since it uses more digits than its factorization.

363072528025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241032 (or 120516 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

Adding to 363072528025 its reverse (520825270363), we get a palindrome (883897798388).

The spelling of 363072528025 in words is "three hundred sixty-three billion, seventy-two million, five hundred twenty-eight thousand, twenty-five".