1027131993 has 18 divisors (see below), whose sum is σ = 1571514282. Its totient is φ = 644226240.

The previous prime is 1027131983. The next prime is 1027132033. The reversal of 1027131993 is 3991317201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 966712464 + 60419529 = 31092^2 + 7773^2 .

It is not a de Polignac number, because 1027131993 - 2⁶ = 1027131929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1027131943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 395128 + ... + 397718.

It is an arithmetic number, because the mean of its divisors is an integer number (87306349).

Almost surely, 2^1027131993 is an apocalyptic number.

It is an amenable number.

1027131993 is a deficient number, since it is larger than the sum of its proper divisors (544382289).

1027131993 is an frugal number, since it uses more digits than its factorization.

1027131993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1027131993 is about 32048.9000279261. The cubic root of 1027131993 is about 1008.9634148129.

The spelling of 1027131993 in words is "one billion, twenty-seven million, one hundred thirty-one thousand, nine hundred ninety-three".