71828288957 has 2 divisors, whose sum is σ = 71828288958. Its totient is φ = 71828288956.

The previous prime is 71828288947. The next prime is 71828288969. The reversal of 71828288957 is 75988282817.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71147026756 + 681262201 = 266734^2 + 26101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71828288957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71828288893 and 71828288902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71828288947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35914144478 + 35914144479.

It is an arithmetic number, because the mean of its divisors is an integer number (35914144479).

Almost surely, 2^71828288957 is an apocalyptic number.

It is an amenable number.

71828288957 is a deficient number, since it is larger than the sum of its proper divisors (1).

71828288957 is an equidigital number, since it uses as much as digits as its factorization.

71828288957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36126720, while the sum is 65.

The spelling of 71828288957 in words is "seventy-one billion, eight hundred twenty-eight million, two hundred eighty-eight thousand, nine hundred fifty-seven".