1353114216 has 48 divisors (see below), whose sum is σ = 3668017860. Its totient is φ = 450627840.

The previous prime is 1353114211. The next prime is 1353114227. The reversal of 1353114216 is 6124113531.

It is a happy number.

1353114216 is a `hidden beast` number, since 135 + 311 + 4 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1132591716 + 220522500 = 33654^2 + 14850^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1353114216.

It is not an unprimeable number, because it can be changed into a prime (1353114211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77076 + ... + 92988.

Almost surely, 2^1353114216 is an apocalyptic number.

It is an amenable number.

1353114216 is an abundant number, since it is smaller than the sum of its proper divisors (2314903644).

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

1353114216 is a wasteful number, since it uses less digits than its factorization.

1353114216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17106 (or 17099 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1353114216 is about 36784.7008415183. The cubic root of 1353114216 is about 1106.0586391589.

Adding to 1353114216 its reverse (6124113531), we get a palindrome (7477227747).

The spelling of 1353114216 in words is "one billion, three hundred fifty-three million, one hundred fourteen thousand, two hundred sixteen".