1314553835060 has 144 divisors (see below), whose sum is σ = 3065553549072. Its totient is φ = 471582720000.

The previous prime is 1314553835059. The next prime is 1314553835149. The reversal of 1314553835060 is 605383554131.

It can be written as a sum of positive squares in 8 ways, for example, as 2140727824 + 1312413107236 = 46268^2 + 1145606^2 .

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 47 ways as a sum of consecutive naturals, for example, 25749560 + ... + 25800560.

It is an arithmetic number, because the mean of its divisors is an integer number (21288566313).

Almost surely, 2^{1314553835060} is an apocalyptic number.

1314553835060 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 1314553835060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532776774536).

1314553835060 is an abundant number, since it is smaller than the sum of its proper divisors (1750999714012).

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

1314553835060 is a wasteful number, since it uses less digits than its factorization.

1314553835060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51154 (or 51109 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 1314553835060 in words is "one trillion, three hundred fourteen billion, five hundred fifty-three million, eight hundred thirty-five thousand, sixty".