7825131647 has 2 divisors, whose sum is σ = 7825131648. Its totient is φ = 7825131646.

The previous prime is 7825131583. The next prime is 7825131649. The reversal of 7825131647 is 7461315287.

It is a strong prime.

It is an emirp because it is prime and its reverse (7461315287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7825131647 - 2⁶ = 7825131583 is a prime.

It is a super-2 number, since 2×7825131647² (a number of 21 digits) contains 22 as substring.

Together with 7825131649, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 7825131598 and 7825131607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7825131649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3912565823 + 3912565824.

It is an arithmetic number, because the mean of its divisors is an integer number (3912565824).

Almost surely, 2^7825131647 is an apocalyptic number.

7825131647 is a deficient number, since it is larger than the sum of its proper divisors (1).

7825131647 is an equidigital number, since it uses as much as digits as its factorization.

7825131647 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 282240, while the sum is 44.

The square root of 7825131647 is about 88459.7741744800. The cubic root of 7825131647 is about 1985.3201519030.

The spelling of 7825131647 in words is "seven billion, eight hundred twenty-five million, one hundred thirty-one thousand, six hundred forty-seven".