1315682000 has 40 divisors (see below), whose sum is σ = 3181323912. Its totient is φ = 526272000.

The previous prime is 1315681981. The next prime is 1315682009. The reversal of 1315682000 is 2865131.

It can be written as a sum of positive squares in 4 ways, for example, as 7268416 + 1308413584 = 2696^2 + 36172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315682009) 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 7 ways as a sum of consecutive naturals, for example, 326921 + ... + 330920.

Almost surely, 2^1315682000 is an apocalyptic number.

1315682000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315682000 is an abundant number, since it is smaller than the sum of its proper divisors (1865641912).

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

1315682000 is an equidigital number, since it uses as much as digits as its factorization.

1315682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657864 (or 657848 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1315682000 is about 36272.3310527460. The cubic root of 1315682000 is about 1095.7638727998.

The spelling of 1315682000 in words is "one billion, three hundred fifteen million, six hundred eighty-two thousand".