1352032900 has 27 divisors (see below), whose sum is σ = 2934709519. Its totient is φ = 540666080.

The previous prime is 1352032859. The next prime is 1352032937. The reversal of 1352032900 is 92302531.

It is a happy number.

The square root of 1352032900 is 36770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 42172036 + 1309860864 = 6494^2 + 36192^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 365862 + ... + 369538.

Almost surely, 2^1352032900 is an apocalyptic number.

1352032900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1352032900 is the 36770-th square number.

It is an amenable number.

1352032900 is an abundant number, since it is smaller than the sum of its proper divisors (1582676619).

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

1352032900 is an frugal number, since it uses more digits than its factorization.

1352032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The cubic root of 1352032900 is about 1105.7639319279.

Multiplying 1352032900 by its sum of digits (25), we get a square (33800822500 = 183850²).

1352032900 divided by its sum of digits (25) gives a square (54081316 = 7354²).

The spelling of 1352032900 in words is "one billion, three hundred fifty-two million, thirty-two thousand, nine hundred".