1355213200 has 60 divisors (see below), whose sum is σ = 3551902128. Its totient is φ = 492803200.

The previous prime is 1355213161. The next prime is 1355213201. The reversal of 1355213200 is 23125531.

1355213200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1355213201) 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, 149602 + ... + 158401.

Almost surely, 2^1355213200 is an apocalyptic number.

1355213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355213200 is an abundant number, since it is smaller than the sum of its proper divisors (2196688928).

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

1355213200 is a wasteful number, since it uses less digits than its factorization.

1355213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308032 (or 308021 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1355213200 is about 36813.2204513542. The cubic root of 1355213200 is about 1106.6302587980.

Adding to 1355213200 its reverse (23125531), we get a palindrome (1378338731).

The spelling of 1355213200 in words is "one billion, three hundred fifty-five million, two hundred thirteen thousand, two hundred".