1325688100 has 81 divisors (see below), whose sum is σ = 3171621873. Its totient is φ = 480612000.

The previous prime is 1325688097. The next prime is 1325688113. The reversal of 1325688100 is 18865231.

The square root of 1325688100 is 36410.

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

It can be written as a sum of positive squares in only one way, i.e., 477247716 + 848440384 = 21846^2 + 29128^2 .

It is a super-2 number, since 2×1325688100² = 3514897876963220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4004935 + ... + 4005265.

Almost surely, 2^1325688100 is an apocalyptic number.

1325688100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1325688100 is the 36410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325688100

1325688100 is an abundant number, since it is smaller than the sum of its proper divisors (1845933773).

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

1325688100 is a wasteful number, since it uses less digits than its factorization.

1325688100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The cubic root of 1325688100 is about 1098.5347156623.

The spelling of 1325688100 in words is "one billion, three hundred twenty-five million, six hundred eighty-eight thousand, one hundred".