1315263040 has 336 divisors, whose sum is σ = 4067836416. Its totient is φ = 394260480.

The previous prime is 1315263023. The next prime is 1315263077. The reversal of 1315263040 is 403625131.

It is a junction number, because it is equal to n+sod(n) for n = 1315262996 and 1315263014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27984297 + ... + 27984343.

It is an arithmetic number, because the mean of its divisors is an integer number (12106656).

Almost surely, 2^1315263040 is an apocalyptic number.

1315263040 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 1315263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033918208).

1315263040 is an abundant number, since it is smaller than the sum of its proper divisors (2752573376).

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

1315263040 is a wasteful number, since it uses less digits than its factorization.

1315263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1315263040 is about 36266.5553919862. Note that the first 3 decimals coincide. The cubic root of 1315263040 is about 1095.6475503728.

Adding to 1315263040 its reverse (403625131), we get a palindrome (1718888171).

The spelling of 1315263040 in words is "one billion, three hundred fifteen million, two hundred sixty-three thousand, forty".