1005150513447 has 48 divisors (see below), whose sum is σ = 1554585626880. Its totient is φ = 623605360896.

The previous prime is 1005150513443. The next prime is 1005150513487. The reversal of 1005150513447 is 7443150515001.

1005150513447 is a `hidden beast` number, since 1 + 0 + 0 + 51 + 50 + 513 + 4 + 47 = 666.

1005150513447 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005150513447 - 2² = 1005150513443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005150513443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10336788 + ... + 10433574.

It is an arithmetic number, because the mean of its divisors is an integer number (32387200560).

Almost surely, 2^{1005150513447} is an apocalyptic number.

1005150513447 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1005150513447 is a deficient number, since it is larger than the sum of its proper divisors (549435113433).

1005150513447 is a wasteful number, since it uses less digits than its factorization.

1005150513447 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97572 (or 97569 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 1005150513447 in words is "one trillion, five billion, one hundred fifty million, five hundred thirteen thousand, four hundred forty-seven".