1315683540 has 96 divisors (see below), whose sum is σ = 4099455360. Its totient is φ = 350316288.

The previous prime is 1315683503. The next prime is 1315683541. The reversal of 1315683540 is 453865131.

1315683540 is a `hidden beast` number, since 1 + 31 + 5 + 6 + 83 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1315683495 and 1315683504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315683541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461359 + ... + 464201.

It is an arithmetic number, because the mean of its divisors is an integer number (42702660).

Almost surely, 2^1315683540 is an apocalyptic number.

1315683540 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 1315683540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049727680).

1315683540 is an abundant number, since it is smaller than the sum of its proper divisors (2783771820).

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

1315683540 is a wasteful number, since it uses less digits than its factorization.

1315683540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1315683540 is about 36272.3522810418. The cubic root of 1315683540 is about 1095.7643003286.

The spelling of 1315683540 in words is "one billion, three hundred fifteen million, six hundred eighty-three thousand, five hundred forty".