1316952000 has 896 divisors, whose sum is σ = 6035527680. Its totient is φ = 273715200.

The previous prime is 1316951983. The next prime is 1316952023. The reversal of 1316952000 is 2596131.

1316952000 is a `hidden beast` number, since 131 + 6 + 9 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 19655967 + ... + 19656033.

It is an arithmetic number, because the mean of its divisors is an integer number (6736080).

Almost surely, 2^1316952000 is an apocalyptic number.

1316952000 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 1316952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017763840).

1316952000 is an abundant number, since it is smaller than the sum of its proper divisors (4718575680).

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

1316952000 is a wasteful number, since it uses less digits than its factorization.

1316952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1316952000 is about 36289.8332870241. The cubic root of 1316952000 is about 1096.1163319785.

The spelling of 1316952000 in words is "one billion, three hundred sixteen million, nine hundred fifty-two thousand".