363487204201 has 27 divisors (see below), whose sum is σ = 417837238077. Its totient is φ = 315943191960.

The previous prime is 363487204193. The next prime is 363487204243. The reversal of 363487204201 is 102402784363.

It is a happy number.

The square root of 363487204201 is 602899.

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

It is not a de Polignac number, because 363487204201 - 2³ = 363487204193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363487205201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 152532256 + ... + 152534638.

Almost surely, 2^363487204201 is an apocalyptic number.

363487204201 is the 602899-th square number.

363487204201 is the 301450-th centered octagonal number.

It is an amenable number.

363487204201 is a deficient number, since it is larger than the sum of its proper divisors (54350033876).

363487204201 is an frugal number, since it uses more digits than its factorization.

363487204201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

Adding to 363487204201 its reverse (102402784363), we get a palindrome (465889988564).

The spelling of 363487204201 in words is "three hundred sixty-three billion, four hundred eighty-seven million, two hundred four thousand, two hundred one".