1311253616520 has 128 divisors (see below), whose sum is σ = 4371804288000. Its totient is φ = 349590919680.

The previous prime is 1311253616513. The next prime is 1311253616573. The reversal of 1311253616520 is 256163521131.

1311253616520 is a `hidden beast` number, since 1 + 3 + 1 + 12 + 5 + 3 + 616 + 5 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4879260 + ... + 5140980.

It is an arithmetic number, because the mean of its divisors is an integer number (34154721000).

Almost surely, 2^{1311253616520} is an apocalyptic number.

1311253616520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311253616520 is an abundant number, since it is smaller than the sum of its proper divisors (3060550671480).

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

1311253616520 is a wasteful number, since it uses less digits than its factorization.

1311253616520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266380 (or 266370 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1311253616520 in words is "one trillion, three hundred eleven billion, two hundred fifty-three million, six hundred sixteen thousand, five hundred twenty".