51025388544 has 297 divisors, whose sum is σ = 160426249659. Its totient is φ = 15613378560.

The previous prime is 51025388527. The next prime is 51025388569. The reversal of 51025388544 is 44588352015.

The square root of 51025388544 is 225888.

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

51025388544 is a `hidden beast` number, since 5 + 1 + 0 + 25 + 3 + 88 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39299097600 + 11726290944 = 198240^2 + 108288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51025388544.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 281908134 + ... + 281908314.

Almost surely, 2^51025388544 is an apocalyptic number.

51025388544 is the 225888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51025388544

51025388544 is an abundant number, since it is smaller than the sum of its proper divisors (109400861115).

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

51025388544 is a wasteful number, since it uses less digits than its factorization.

51025388544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

It can be divided in two parts, 51025 and 388544, that added together give a square (439569 = 663²).

The spelling of 51025388544 in words is "fifty-one billion, twenty-five million, three hundred eighty-eight thousand, five hundred forty-four".