1077640313 has 2 divisors, whose sum is σ = 1077640314. Its totient is φ = 1077640312.

The previous prime is 1077640301. The next prime is 1077640349. The reversal of 1077640313 is 3130467701.

1077640313 = 23212² + 23213².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 538843369 + 538796944 = 23213^2 + 23212^2 .

It is an emirp because it is prime and its reverse (3130467701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1077640313 - 2⁴ = 1077640297 is a prime.

It is a super-2 number, since 2×1077640313² = 2322617288405475938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1077640313.

It is not a weakly prime, because it can be changed into another prime (1077640363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 538820156 + 538820157.

It is an arithmetic number, because the mean of its divisors is an integer number (538820157).

Almost surely, 2^1077640313 is an apocalyptic number.

1077640313 is the 23213-rd centered square number.

It is an amenable number.

1077640313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1077640313 is an equidigital number, since it uses as much as digits as its factorization.

1077640313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 1077640313 is about 32827.4323242011. The cubic root of 1077640313 is about 1025.2377994367.

The spelling of 1077640313 in words is "one billion, seventy-seven million, six hundred forty thousand, three hundred thirteen".