1315080000 has 420 divisors, whose sum is σ = 5090673588. Its totient is φ = 322560000.

The previous prime is 1315079981. The next prime is 1315080007. The reversal of 1315080000 is 805131.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1119303936 + 195776064 = 33456^2 + 13992^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315080007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4679860 + ... + 4680140.

Almost surely, 2^1315080000 is an apocalyptic number.

1315080000 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 1315080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545336794).

1315080000 is an abundant number, since it is smaller than the sum of its proper divisors (3775593588).

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

1315080000 is a wasteful number, since it uses less digits than its factorization.

1315080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1315080000 is about 36264.0317670278. The cubic root of 1315080000 is about 1095.5967223571.

Adding to 1315080000 its reverse (805131), we get a palindrome (1315885131).

The spelling of 1315080000 in words is "one billion, three hundred fifteen million, eighty thousand".