5257617777677 has 8 divisors (see below), whose sum is σ = 5567553156600. Its totient is φ = 4947756148224.

The previous prime is 5257617777653. The next prime is 5257617777697. The reversal of 5257617777677 is 7767777167525.

It can be written as a sum of positive squares in 4 ways, for example, as 1363918001161 + 3893699776516 = 1167869^2 + 1973246^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5257617777677 - 2⁶ = 5257617777613 is a prime.

It is a super-2 number, since 2×5257617777677² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257617777637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18290552 + ... + 18575777.

It is an arithmetic number, because the mean of its divisors is an integer number (695944144575).

Almost surely, 2^{5257617777677} is an apocalyptic number.

It is an amenable number.

5257617777677 is a deficient number, since it is larger than the sum of its proper divisors (309935378923).

5257617777677 is a wasteful number, since it uses less digits than its factorization.

5257617777677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36874735.

The product of its digits is 1482377400, while the sum is 74.

The spelling of 5257617777677 in words is "five trillion, two hundred fifty-seven billion, six hundred seventeen million, seven hundred seventy-seven thousand, six hundred seventy-seven".