1310525200 has 120 divisors (see below), whose sum is σ = 3280631048. Its totient is φ = 502640640.

The previous prime is 1310525143. The next prime is 1310525219. The reversal of 1310525200 is 25250131.

It can be written as a sum of positive squares in 12 ways, for example, as 374654736 + 935870464 = 19356^2 + 30592^2 .

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, 1079794 + ... + 1081006.

Almost surely, 2^1310525200 is an apocalyptic number.

1310525200 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 1310525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640315524).

1310525200 is an abundant number, since it is smaller than the sum of its proper divisors (1970105848).

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

1310525200 is a wasteful number, since it uses less digits than its factorization.

1310525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1310525200 is about 36201.1767764530. The cubic root of 1310525200 is about 1094.3303871527.

Adding to 1310525200 its reverse (25250131), we get a palindrome (1335775331).

The spelling of 1310525200 in words is "one billion, three hundred ten million, five hundred twenty-five thousand, two hundred".