1027120813 has 8 divisors (see below), whose sum is σ = 1038024216. Its totient is φ = 1016232000.

The previous prime is 1027120769. The next prime is 1027120823. The reversal of 1027120813 is 3180217201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 636149284 + 390971529 = 25222^2 + 19773^2 .

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 1027120813 - 2¹⁷ = 1026989741 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 (1027120823) 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, 192603 + ... + 197863.

It is an arithmetic number, because the mean of its divisors is an integer number (129753027).

Almost surely, 2^1027120813 is an apocalyptic number.

It is an amenable number.

1027120813 is a deficient number, since it is larger than the sum of its proper divisors (10903403).

1027120813 is a wasteful number, since it uses less digits than its factorization.

1027120813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7295.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1027120813 is about 32048.7256064886. The cubic root of 1027120813 is about 1008.9597540527.

The spelling of 1027120813 in words is "one billion, twenty-seven million, one hundred twenty thousand, eight hundred thirteen".