1005123045 has 32 divisors (see below), whose sum is σ = 1715852160. Its totient is φ = 500664320.

The previous prime is 1005123017. The next prime is 1005123061. The reversal of 1005123045 is 5403215001.

It is not a de Polignac number, because 1005123045 - 2⁶ = 1005122981 is a prime.

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, 18361 + ... + 48449.

It is an arithmetic number, because the mean of its divisors is an integer number (53620380).

Almost surely, 2^1005123045 is an apocalyptic number.

1005123045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005123045 is a deficient number, since it is larger than the sum of its proper divisors (710729115).

1005123045 is a wasteful number, since it uses less digits than its factorization.

1005123045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30245.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1005123045 is about 31703.6755755543. The cubic root of 1005123045 is about 1001.7047737616.

Adding to 1005123045 its reverse (5403215001), we get a palindrome (6408338046).

The spelling of 1005123045 in words is "one billion, five million, one hundred twenty-three thousand, forty-five".