363435165225 has 96 divisors (see below), whose sum is σ = 733657150080. Its totient is φ = 174924288000.

The previous prime is 363435165133. The next prime is 363435165251. The reversal of 363435165225 is 522561534363.

363435165225 is a `hidden beast` number, since 3 + 63 + 4 + 3 + 516 + 52 + 25 = 666.

It is not a de Polignac number, because 363435165225 - 2¹⁶ = 363435099689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 838585 + ... + 1195865.

It is an arithmetic number, because the mean of its divisors is an integer number (7642261980).

Almost surely, 2^363435165225 is an apocalyptic number.

It is an amenable number.

363435165225 is an abundant number, since it is smaller than the sum of its proper divisors (370221984855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

363435165225 is a wasteful number, since it uses less digits than its factorization.

363435165225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357448 (or 357437 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

Adding to 363435165225 its reverse (522561534363), we get a palindrome (885996699588).

The spelling of 363435165225 in words is "three hundred sixty-three billion, four hundred thirty-five million, one hundred sixty-five thousand, two hundred twenty-five".