1006145019 has 48 divisors (see below), whose sum is σ = 1680007680. Its totient is φ = 573842880.

The previous prime is 1006145011. The next prime is 1006145069. The reversal of 1006145019 is 9105416001.

It is not a de Polignac number, because 1006145019 - 2³ = 1006145011 is a prime.

It is a super-2 number, since 2×1006145019² = 2024655598517020722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006144983 and 1006145001.

It is not an unprimeable number, because it can be changed into a prime (1006145011) 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, 293614 + ... + 297020.

It is an arithmetic number, because the mean of its divisors is an integer number (35000160).

Almost surely, 2^1006145019 is an apocalyptic number.

1006145019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1006145019 is a deficient number, since it is larger than the sum of its proper divisors (673862661).

1006145019 is a wasteful number, since it uses less digits than its factorization.

1006145019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1006145019 is about 31719.7890755913. The cubic root of 1006145019 is about 1002.0441582365.

The spelling of 1006145019 in words is "one billion, six million, one hundred forty-five thousand, nineteen".