75677277277657 has 6 divisors (see below), whose sum is σ = 83182461801194. Its totient is φ = 68797524797760.

The previous prime is 75677277277649. The next prime is 75677277277663.

75677277277657 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 51292682695881 + 24384594581776 = 7161891^2 + 4938076^2 .

It is not a de Polignac number, because 75677277277657 - 2³ = 75677277277649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75677277277607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 312716021688 + ... + 312716021929.

Almost surely, 2^{75677277277657} is an apocalyptic number.

It is an amenable number.

75677277277657 is a deficient number, since it is larger than the sum of its proper divisors (7505184523537).

75677277277657 is a wasteful number, since it uses less digits than its factorization.

75677277277657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625432043639 (or 625432043628 counting only the distinct ones).

The product of its digits is 20753283600, while the sum is 82.

The spelling of 75677277277657 in words is "seventy-five trillion, six hundred seventy-seven billion, two hundred seventy-seven million, two hundred seventy-seven thousand, six hundred fifty-seven".