51825433104 has 135 divisors (see below), whose sum is σ = 147931563117. Its totient is φ = 16937308800.

The previous prime is 51825433091. The next prime is 51825433117. The reversal of 51825433104 is 40133452815.

The square root of 51825433104 is 227652.

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

51825433104 is a `hidden beast` number, since 5 + 1 + 8 + 2 + 543 + 3 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (51825433091) and next prime (51825433117).

It can be written as a sum of positive squares in only one way, i.e., 1685266704 + 50140166400 = 41052^2 + 223920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166641109 + ... + 166641419.

Almost surely, 2^51825433104 is an apocalyptic number.

51825433104 is the 227652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51825433104

51825433104 is an abundant number, since it is smaller than the sum of its proper divisors (96106130013).

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

51825433104 is an equidigital number, since it uses as much as digits as its factorization.

51825433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 51825433104 by its sum of digits (36), we get a square (1865715591744 = 1365912²).

51825433104 divided by its sum of digits (36) gives a square (1439595364 = 37942²).

Adding to 51825433104 its reverse (40133452815), we get a palindrome (91958885919).

The spelling of 51825433104 in words is "fifty-one billion, eight hundred twenty-five million, four hundred thirty-three thousand, one hundred four".