1005100993 has 8 divisors (see below), whose sum is σ = 1084866048. Its totient is φ = 925685904.

The previous prime is 1005100991. The next prime is 1005100997. The reversal of 1005100993 is 3990015001.

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

It is not a de Polignac number, because 1005100993 - 2¹ = 1005100991 is a prime.

It is a super-2 number, since 2×1005100993² = 2020456012259172098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005100991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81505 + ... + 93022.

It is an arithmetic number, because the mean of its divisors is an integer number (135608256).

Almost surely, 2^1005100993 is an apocalyptic number.

1005100993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005100993 is a deficient number, since it is larger than the sum of its proper divisors (79765055).

1005100993 is a wasteful number, since it uses less digits than its factorization.

1005100993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174983.

The product of its (nonzero) digits is 1215, while the sum is 28.

The square root of 1005100993 is about 31703.3277906279. The cubic root of 1005100993 is about 1001.6974480398.

Adding to 1005100993 its reverse (3990015001), we get a palindrome (4995115994).

The spelling of 1005100993 in words is "one billion, five million, one hundred thousand, nine hundred ninety-three".