1005093134337 has 8 divisors (see below), whose sum is σ = 1357087776640. Its totient is φ = 661580290800.

The previous prime is 1005093134323. The next prime is 1005093134351. The reversal of 1005093134337 is 7334313905001.

It is an interprime number because it is at equal distance from previous prime (1005093134323) and next prime (1005093134351).

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

It is not a de Polignac number, because 1005093134337 - 2⁴ = 1005093134321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005093134295 and 1005093134304.

It is not an unprimeable number, because it can be changed into a prime (1005093134387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2120449414 + ... + 2120449887.

It is an arithmetic number, because the mean of its divisors is an integer number (169635972080).

Almost surely, 2^{1005093134337} is an apocalyptic number.

It is an amenable number.

1005093134337 is a deficient number, since it is larger than the sum of its proper divisors (351994642303).

1005093134337 is an equidigital number, since it uses as much as digits as its factorization.

1005093134337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240899383.

The product of its (nonzero) digits is 102060, while the sum is 39.

The spelling of 1005093134337 in words is "one trillion, five billion, ninety-three million, one hundred thirty-four thousand, three hundred thirty-seven".