1315381600 has 144 divisors (see below), whose sum is σ = 3504150720. Its totient is φ = 479232000.

The previous prime is 1315381583. The next prime is 1315381607. The reversal of 1315381600 is 61835131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315381607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820800 + ... + 822400.

It is an arithmetic number, because the mean of its divisors is an integer number (24334380).

Almost surely, 2^1315381600 is an apocalyptic number.

1315381600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752075360).

1315381600 is an abundant number, since it is smaller than the sum of its proper divisors (2188769120).

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

1315381600 is a wasteful number, since it uses less digits than its factorization.

1315381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1315381600 is about 36268.1899189910. The cubic root of 1315381600 is about 1095.6804705484.

The spelling of 1315381600 in words is "one billion, three hundred fifteen million, three hundred eighty-one thousand, six hundred".