51107171549184 has 135 divisors (see below), whose sum is σ = 147646365054097. Its totient is φ = 17034808786944.

The previous prime is 51107171549149. The next prime is 51107171549219. The reversal of 51107171549184 is 48194517170115.

The square root of 51107171549184 is 7148928.

It is a perfect power (a square), and thus also a powerful number.

51107171549184 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 7 + 1 + 71 + 5 + 491 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (51107171549149) and next prime (51107171549219).

It can be written as a sum of positive squares in only one way, i.e., 49787136000000 + 1320035549184 = 7056000^2 + 1148928^2 .

It is a super-2 number, since 2×51107171549184² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51107171549184.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2745179044 + ... + 2745197660.

Almost surely, 2^{51107171549184} is an apocalyptic number.

51107171549184 is the 7148928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51107171549184

51107171549184 is an abundant number, since it is smaller than the sum of its proper divisors (96539193504913).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51107171549184 is an frugal number, since it uses more digits than its factorization.

51107171549184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37268 (or 18622 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 54.

The spelling of 51107171549184 in words is "fifty-one trillion, one hundred seven billion, one hundred seventy-one million, five hundred forty-nine thousand, one hundred eighty-four".