1310252160 has 384 divisors, whose sum is σ = 5120971200. Its totient is φ = 283336704.

The previous prime is 1310252149. The next prime is 1310252189. The reversal of 1310252160 is 612520131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1787154 + ... + 1787886.

Almost surely, 2^1310252160 is an apocalyptic number.

1310252160 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 1310252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560485600).

1310252160 is an abundant number, since it is smaller than the sum of its proper divisors (3810719040).

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

1310252160 is a wasteful number, since it uses less digits than its factorization.

1310252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1310252160 is about 36197.4054318814. The cubic root of 1310252160 is about 1094.2543828348.

Adding to 1310252160 its reverse (612520131), we get a palindrome (1922772291).

The spelling of 1310252160 in words is "one billion, three hundred ten million, two hundred fifty-two thousand, one hundred sixty".