1005008401 has 8 divisors (see below), whose sum is σ = 1061355680. Its totient is φ = 949006368.

The previous prime is 1005008383. The next prime is 1005008429. The reversal of 1005008401 is 1048005001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005008401 - 2¹³ = 1005000209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005008461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80316 + ... + 91981.

It is an arithmetic number, because the mean of its divisors is an integer number (132669460).

Almost surely, 2^1005008401 is an apocalyptic number.

It is an amenable number.

1005008401 is a deficient number, since it is larger than the sum of its proper divisors (56347279).

1005008401 is a wasteful number, since it uses less digits than its factorization.

1005008401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172623.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1005008401 is about 31701.8674686524. The cubic root of 1005008401 is about 1001.6666876091. Note that the first 4 decimals are identical.

The spelling of 1005008401 in words is "one billion, five million, eight thousand, four hundred one".