1005873138 has 12 divisors (see below), whose sum is σ = 2179391838. Its totient is φ = 335291040.

The previous prime is 1005873133. The next prime is 1005873227. The reversal of 1005873138 is 8313785001.

1005873138 is a `hidden beast` number, since 10 + 0 + 587 + 31 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 950920569 + 54952569 = 30837^2 + 7413^2 .

It is not an unprimeable number, because it can be changed into a prime (1005873133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27940903 + ... + 27940938.

Almost surely, 2^1005873138 is an apocalyptic number.

1005873138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1005873138 is an abundant number, since it is smaller than the sum of its proper divisors (1173518700).

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

1005873138 is a wasteful number, since it uses less digits than its factorization.

1005873138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55881849 (or 55881846 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1005873138 is about 31715.5031175607. The cubic root of 1005873138 is about 1001.9538924844.

The spelling of 1005873138 in words is "one billion, five million, eight hundred seventy-three thousand, one hundred thirty-eight".