51517177820557 has 8 divisors (see below), whose sum is σ = 52096666217400. Its totient is φ = 50937703728384.

The previous prime is 51517177820501. The next prime is 51517177820567. The reversal of 51517177820557 is 75502877171515.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1482011629641 + 50035166190916 = 1217379^2 + 7073554^2 .

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 51517177820557 - 2¹⁹ = 51517177296269 is a prime.

It is a super-2 number, since 2×51517177820557² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51517177820495 and 51517177820504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51517177820567) 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, 3751153 + ... + 10821529.

It is an arithmetic number, because the mean of its divisors is an integer number (6512083277175).

Almost surely, 2^{51517177820557} is an apocalyptic number.

It is an amenable number.

51517177820557 is a deficient number, since it is larger than the sum of its proper divisors (579488396843).

51517177820557 is an equidigital number, since it uses as much as digits as its factorization.

51517177820557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152335.

The product of its (nonzero) digits is 24010000, while the sum is 61.

The spelling of 51517177820557 in words is "fifty-one trillion, five hundred seventeen billion, one hundred seventy-seven million, eight hundred twenty thousand, five hundred fifty-seven".