8130807953 has 2 divisors, whose sum is σ = 8130807954. Its totient is φ = 8130807952.

The previous prime is 8130807917. The next prime is 8130807961. The reversal of 8130807953 is 3597080318.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8076976384 + 53831569 = 89872^2 + 7337^2 .

It is a cyclic number.

It is not a de Polignac number, because 8130807953 - 2¹⁸ = 8130545809 is a prime.

It is a super-2 number, since 2×8130807953² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (8130807973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4065403976 + 4065403977.

It is an arithmetic number, because the mean of its divisors is an integer number (4065403977).

Almost surely, 2^8130807953 is an apocalyptic number.

It is an amenable number.

8130807953 is a deficient number, since it is larger than the sum of its proper divisors (1).

8130807953 is an equidigital number, since it uses as much as digits as its factorization.

8130807953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 8130807953 is about 90170.9928580139. The cubic root of 8130807953 is about 2010.8417844063.

The spelling of 8130807953 in words is "eight billion, one hundred thirty million, eight hundred seven thousand, nine hundred fifty-three".