1027135993 has 8 divisors (see below), whose sum is σ = 1111109888. Its totient is φ = 943871184.

The previous prime is 1027135961. The next prime is 1027136009. The reversal of 1027135993 is 3995317201.

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 1027135993 - 2⁵ = 1027135961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027135943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174255 + ... + 180052.

It is an arithmetic number, because the mean of its divisors is an integer number (138888736).

Almost surely, 2^1027135993 is an apocalyptic number.

1027135993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1027135993 is a deficient number, since it is larger than the sum of its proper divisors (83973895).

1027135993 is a wasteful number, since it uses less digits than its factorization.

1027135993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354543.

The product of its (nonzero) digits is 51030, while the sum is 40.

The square root of 1027135993 is about 32048.9624325032. The cubic root of 1027135993 is about 1008.9647245597.

It can be divided in two parts, 10271 and 35993, that added together give a palindrome (46264).

The spelling of 1027135993 in words is "one billion, twenty-seven million, one hundred thirty-five thousand, nine hundred ninety-three".