1027491311 has 16 divisors (see below), whose sum is σ = 1322354688. Its totient is φ = 774813600.

The previous prime is 1027491307. The next prime is 1027491317. The reversal of 1027491311 is 1131947201.

It is not a de Polignac number, because 1027491311 - 2² = 1027491307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027491317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212840 + ... + 217613.

It is an arithmetic number, because the mean of its divisors is an integer number (82647168).

Almost surely, 2^1027491311 is an apocalyptic number.

1027491311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1027491311 is a deficient number, since it is larger than the sum of its proper divisors (294863377).

1027491311 is a wasteful number, since it uses less digits than its factorization.

1027491311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430502.

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 1027491311 is about 32054.5053151659. The cubic root of 1027491311 is about 1009.0810551460.

The spelling of 1027491311 in words is "one billion, twenty-seven million, four hundred ninety-one thousand, three hundred eleven".