1331053264350 has 288 divisors, whose sum is σ = 3815905766400. Its totient is φ = 344708058240.

The previous prime is 1331053264349. The next prime is 1331053264369. The reversal of 1331053264350 is 534623501331.

1331053264350 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 5 + 3 + 2 + 643 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 269277979 + ... + 269282921.

It is an arithmetic number, because the mean of its divisors is an integer number (13249672800).

Almost surely, 2^{1331053264350} is an apocalyptic number.

1331053264350 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 1331053264350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907952883200).

1331053264350 is an abundant number, since it is smaller than the sum of its proper divisors (2484852502050).

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

1331053264350 is a wasteful number, since it uses less digits than its factorization.

1331053264350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 1331053264350 its reverse (534623501331), we get a palindrome (1865676765681).

The spelling of 1331053264350 in words is "one trillion, three hundred thirty-one billion, fifty-three million, two hundred sixty-four thousand, three hundred fifty".