7129397657 has 2 divisors, whose sum is σ = 7129397658. Its totient is φ = 7129397656.

The previous prime is 7129397567. The next prime is 7129397713. The reversal of 7129397657 is 7567939217.

Together with previous prime (7129397567) it forms an Ormiston pair, because they use the same digits, order apart.

It is an a-pointer prime, because the next prime (7129397713) can be obtained adding 7129397657 to its sum of digits (56).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6958729561 + 170668096 = 83419^2 + 13064^2 .

It is an emirp because it is prime and its reverse (7567939217) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7129397657 - 2¹⁸ = 7129135513 is a prime.

It is not a weakly prime, because it can be changed into another prime (7129397057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3564698828 + 3564698829.

It is an arithmetic number, because the mean of its divisors is an integer number (3564698829).

Almost surely, 2^7129397657 is an apocalyptic number.

It is an amenable number.

7129397657 is a deficient number, since it is larger than the sum of its proper divisors (1).

7129397657 is an equidigital number, since it uses as much as digits as its factorization.

7129397657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5000940, while the sum is 56.

The square root of 7129397657 is about 84435.7605342665. The cubic root of 7129397657 is about 1924.6463763317.

The spelling of 7129397657 in words is "seven billion, one hundred twenty-nine million, three hundred ninety-seven thousand, six hundred fifty-seven".