1311085052550 has 2304 divisors, whose sum is σ = 5211746426880. Its totient is φ = 234877501440.

The previous prime is 1311085052539. The next prime is 1311085052573. The reversal of 1311085052550 is 552505801131.

1311085052550 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 8 + 50 + 52 + 550 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 27895426627 + ... + 27895426673.

It is an arithmetic number, because the mean of its divisors is an integer number (2262042720).

Almost surely, 2^{1311085052550} is an apocalyptic number.

1311085052550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311085052550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605873213440).

1311085052550 is an abundant number, since it is smaller than the sum of its proper divisors (3900661374330).

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

1311085052550 is a wasteful number, since it uses less digits than its factorization.

1311085052550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 1311085052550 in words is "one trillion, three hundred eleven billion, eighty-five million, fifty-two thousand, five hundred fifty".