1315305040 has 120 divisors (see below), whose sum is σ = 3570287112. Its totient is φ = 449326080.

The previous prime is 1315305037. The next prime is 1315305109. The reversal of 1315305040 is 405035131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 1312757824 = 1596^2 + 36232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1649922 + ... + 1650718.

Almost surely, 2^1315305040 is an apocalyptic number.

1315305040 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 1315305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785143556).

1315305040 is an abundant number, since it is smaller than the sum of its proper divisors (2254982072).

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

1315305040 is a wasteful number, since it uses less digits than its factorization.

1315305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1315305040 is about 36267.1344332579. The cubic root of 1315305040 is about 1095.6592126046.

The spelling of 1315305040 in words is "one billion, three hundred fifteen million, three hundred five thousand, forty".