363783891025 has 27 divisors (see below), whose sum is σ = 457804373403. Its totient is φ = 286759258800.

The previous prime is 363783891017. The next prime is 363783891041. The reversal of 363783891025 is 520198387363.

The square root of 363783891025 is 603145.

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., 130962200769 + 232821690256 = 361887^2 + 482516^2 .

It is not a de Polignac number, because 363783891025 - 2³ = 363783891017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 214115626 + ... + 214117324.

Almost surely, 2^363783891025 is an apocalyptic number.

363783891025 is the 603145-th square number.

363783891025 is the 301573-rd centered octagonal number.

It is an amenable number.

363783891025 is a deficient number, since it is larger than the sum of its proper divisors (94020482378).

363783891025 is an frugal number, since it uses more digits than its factorization.

363783891025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 363783891025 in words is "three hundred sixty-three billion, seven hundred eighty-three million, eight hundred ninety-one thousand, twenty-five".