1311580152 has 192 divisors, whose sum is σ = 3849880320. Its totient is φ = 402361344.

The previous prime is 1311580139. The next prime is 1311580157. The reversal of 1311580152 is 2510851131.

1311580152 is a `hidden beast` number, since 1 + 31 + 1 + 580 + 1 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311580157) 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, 8046423 + ... + 8046585.

It is an arithmetic number, because the mean of its divisors is an integer number (20051460).

Almost surely, 2^1311580152 is an apocalyptic number.

1311580152 is a gapful number since it is divisible by the number (12) 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 1311580152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924940160).

1311580152 is an abundant number, since it is smaller than the sum of its proper divisors (2538300168).

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

1311580152 is a wasteful number, since it uses less digits than its factorization.

1311580152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1311580152 is about 36215.7445319021. The cubic root of 1311580152 is about 1094.6239479311.

The spelling of 1311580152 in words is "one billion, three hundred eleven million, five hundred eighty thousand, one hundred fifty-two".