1305505310032 has 160 divisors (see below), whose sum is σ = 3201656152320. Its totient is φ = 500902133760.

The previous prime is 1305505310023. The next prime is 1305505310047. The reversal of 1305505310032 is 2300135055031.

It is a super-2 number, since 2×1305505310032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60516144 + ... + 60537712.

It is an arithmetic number, because the mean of its divisors is an integer number (20010350952).

Almost surely, 2^{1305505310032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305505310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600828076160).

1305505310032 is an abundant number, since it is smaller than the sum of its proper divisors (1896150842288).

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

1305505310032 is a wasteful number, since it uses less digits than its factorization.

1305505310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22341 (or 22335 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

The spelling of 1305505310032 in words is "one trillion, three hundred five billion, five hundred five million, three hundred ten thousand, thirty-two".