1315251200 has 132 divisors (see below), whose sum is σ = 3304840560. Its totient is φ = 518922240.

The previous prime is 1315251199. The next prime is 1315251299. The reversal of 1315251200 is 21525131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2124491 + ... + 2125109.

Almost surely, 2^1315251200 is an apocalyptic number.

1315251200 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 1315251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652420280).

1315251200 is an abundant number, since it is smaller than the sum of its proper divisors (1989589360).

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

1315251200 is an equidigital number, since it uses as much as digits as its factorization.

1315251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1315251200 is about 36266.3921558238. The cubic root of 1315251200 is about 1095.6442626893.

Adding to 1315251200 its reverse (21525131), we get a palindrome (1336776331).

The spelling of 1315251200 in words is "one billion, three hundred fifteen million, two hundred fifty-one thousand, two hundred".