1316265600 has 384 divisors, whose sum is σ = 4780944000. Its totient is φ = 316293120.

The previous prime is 1316265593. The next prime is 1316265607. The reversal of 1316265600 is 65626131.

It is an interprime number because it is at equal distance from previous prime (1316265593) and next prime (1316265607).

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 (30).

It is not an unprimeable number, because it can be changed into a prime (1316265607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6614301 + ... + 6614499.

It is an arithmetic number, because the mean of its divisors is an integer number (12450375).

Almost surely, 2^1316265600 is an apocalyptic number.

1316265600 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 1316265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390472000).

1316265600 is an abundant number, since it is smaller than the sum of its proper divisors (3464678400).

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

1316265600 is a wasteful number, since it uses less digits than its factorization.

1316265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1316265600 is about 36280.3748602464. The cubic root of 1316265600 is about 1095.9258656589.

The spelling of 1316265600 in words is "one billion, three hundred sixteen million, two hundred sixty-five thousand, six hundred".