1312516800 has 504 divisors, whose sum is σ = 5527548000. Its totient is φ = 289013760.

The previous prime is 1312516787. The next prime is 1312516811. The reversal of 1312516800 is 86152131.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×1312516800³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2922976 + ... + 2923424.

Almost surely, 2^1312516800 is an apocalyptic number.

1312516800 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 1312516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763774000).

1312516800 is an abundant number, since it is smaller than the sum of its proper divisors (4215031200).

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

1312516800 is a wasteful number, since it uses less digits than its factorization.

1312516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1312516800 is about 36228.6737267596. The cubic root of 1312516800 is about 1094.8844564391.

Adding to 1312516800 its reverse (86152131), we get a palindrome (1398668931).

It can be divided in two parts, 1312516 and 800, that added together give a square (1313316 = 1146²).

The spelling of 1312516800 in words is "one billion, three hundred twelve million, five hundred sixteen thousand, eight hundred".