1304511005142 has 24 divisors (see below), whose sum is σ = 2826865225080. Its totient is φ = 434771661120.

The previous prime is 1304511005131. The next prime is 1304511005153. The reversal of 1304511005142 is 2415001154031.

1304511005142 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 511 + 0 + 0 + 5 + 142 = 666.

It is an interprime number because it is at equal distance from previous prime (1304511005131) and next prime (1304511005153).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5321859 + ... + 5561582.

It is an arithmetic number, because the mean of its divisors is an integer number (117786051045).

Almost surely, 2^{1304511005142} is an apocalyptic number.

1304511005142 is an abundant number, since it is smaller than the sum of its proper divisors (1522354219938).

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

1304511005142 is a wasteful number, since it uses less digits than its factorization.

1304511005142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890108 (or 10890105 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1304511005142 its reverse (2415001154031), we get a palindrome (3719512159173).

The spelling of 1304511005142 in words is "one trillion, three hundred four billion, five hundred eleven million, five thousand, one hundred forty-two".