1312725960 has 768 divisors, whose sum is σ = 5837529600. Its totient is φ = 255301632.

The previous prime is 1312725959. The next prime is 1312725971. The reversal of 1312725960 is 695272131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35479062 + ... + 35479098.

It is an arithmetic number, because the mean of its divisors is an integer number (7600950).

Almost surely, 2^1312725960 is an apocalyptic number.

1312725960 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 1312725960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918764800).

1312725960 is an abundant number, since it is smaller than the sum of its proper divisors (4524803640).

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

1312725960 is a wasteful number, since it uses less digits than its factorization.

1312725960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1312725960 is about 36231.5602755388. The cubic root of 1312725960 is about 1094.9426128679.

The spelling of 1312725960 in words is "one billion, three hundred twelve million, seven hundred twenty-five thousand, nine hundred sixty".