1252328100 has 72 divisors (see below), whose sum is σ = 3684868320. Its totient is φ = 328289280.

The previous prime is 1252328089. The next prime is 1252328131. The reversal of 1252328100 is 18232521.

It is a super-2 number, since 2×1252328100² = 3136651340099220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 17677 + ... + 53076.

Almost surely, 2^1252328100 is an apocalyptic number.

1252328100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252328100 is an abundant number, since it is smaller than the sum of its proper divisors (2432540220).

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

1252328100 is a wasteful number, since it uses less digits than its factorization.

1252328100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70829 (or 70822 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1252328100 is about 35388.2480493172. The cubic root of 1252328100 is about 1077.8856955113.

The spelling of 1252328100 in words is "one billion, two hundred fifty-two million, three hundred twenty-eight thousand, one hundred".