51539607552 has 70 divisors (see below), whose sum is σ = 137438953468. Its totient is φ = 17179869184.

The previous prime is 51539607551. The next prime is 51539607599. The reversal of 51539607552 is 25570693515.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)³¹.

It is a super-2 number, since 2×51539607552² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51539607551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 51539607552 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17179869183 + 17179869184 + 17179869185.

Almost surely, 2^51539607552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51539607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68719476734).

51539607552 is an abundant number, since it is smaller than the sum of its proper divisors (85899345916).

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

51539607552 is an frugal number, since it uses more digits than its factorization.

51539607552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 48.

Multiplying 51539607552 by its sum of digits (48), we get a square (2473901162496 = 1572864²).

51539607552 divided by its sum of digits (48) gives a 30-th power (1073741824 = 2³⁰).

The spelling of 51539607552 in words is "fifty-one billion, five hundred thirty-nine million, six hundred seven thousand, five hundred fifty-two".