1005073875 has 96 divisors (see below), whose sum is σ = 2054445120. Its totient is φ = 468633600.

The previous prime is 1005073843. The next prime is 1005073879. The reversal of 1005073875 is 5783705001.

It is not a de Polignac number, because 1005073875 - 2⁵ = 1005073843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005073879) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276067 + ... + 279683.

It is an arithmetic number, because the mean of its divisors is an integer number (21400470).

Almost surely, 2^1005073875 is an apocalyptic number.

1005073875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005073875 is an abundant number, since it is smaller than the sum of its proper divisors (1049371245).

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

1005073875 is a wasteful number, since it uses less digits than its factorization.

1005073875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1005073875 is about 31702.9001039337. The cubic root of 1005073875 is about 1001.6884392351.

Adding to 1005073875 its reverse (5783705001), we get a palindrome (6788778876).

The spelling of 1005073875 in words is "one billion, five million, seventy-three thousand, eight hundred seventy-five".