1352333205 has 32 divisors (see below), whose sum is σ = 2414793600. Its totient is φ = 718050816.

The previous prime is 1352333201. The next prime is 1352333207. The reversal of 1352333205 is 5023332531.

It is not a de Polignac number, because 1352333205 - 2² = 1352333201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352333201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8581 + ... + 52709.

It is an arithmetic number, because the mean of its divisors is an integer number (75462300).

Almost surely, 2^1352333205 is an apocalyptic number.

1352333205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1352333205 is a deficient number, since it is larger than the sum of its proper divisors (1062460395).

1352333205 is a wasteful number, since it uses less digits than its factorization.

1352333205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44370 (or 44364 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1352333205 is about 36774.0833332389. The cubic root of 1352333205 is about 1105.8457942985.

Adding to 1352333205 its reverse (5023332531), we get a palindrome (6375665736).

The spelling of 1352333205 in words is "one billion, three hundred fifty-two million, three hundred thirty-three thousand, two hundred five".