1352313200 has 120 divisors (see below), whose sum is σ = 3737106048. Its totient is φ = 460650240.

The previous prime is 1352313197. The next prime is 1352313211. The reversal of 1352313200 is 23132531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 454919 + ... + 457881.

Almost surely, 2^1352313200 is an apocalyptic number.

1352313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868553024).

1352313200 is an abundant number, since it is smaller than the sum of its proper divisors (2384792848).

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

1352313200 is a wasteful number, since it uses less digits than its factorization.

1352313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1352313200 is about 36773.8113336108. The cubic root of 1352313200 is about 1105.8403413638.

Adding to 1352313200 its reverse (23132531), we get a palindrome (1375445731).

The spelling of 1352313200 in words is "one billion, three hundred fifty-two million, three hundred thirteen thousand, two hundred".