363201125 has 16 divisors (see below), whose sum is σ = 518029824. Its totient is φ = 249051600.

The previous prime is 363201071. The next prime is 363201127. The reversal of 363201125 is 521102363.

It is not a de Polignac number, because 363201125 - 2¹⁴ = 363184741 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 363201125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363201127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206669 + ... + 208418.

It is an arithmetic number, because the mean of its divisors is an integer number (32376864).

Almost surely, 2^363201125 is an apocalyptic number.

363201125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

363201125 is a deficient number, since it is larger than the sum of its proper divisors (154828699).

363201125 is an equidigital number, since it uses as much as digits as its factorization.

363201125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415109 (or 415099 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 363201125 is about 19057.8363147551. The cubic root of 363201125 is about 713.4809715424.

Adding to 363201125 its reverse (521102363), we get a palindrome (884303488).

The spelling of 363201125 in words is "three hundred sixty-three million, two hundred one thousand, one hundred twenty-five".