51825120 has 96 divisors (see below), whose sum is σ = 165019680. Its totient is φ = 13670400.

The previous prime is 51825119. The next prime is 51825121. The reversal of 51825120 is 2152815.

It is an interprime number because it is at equal distance from previous prime (51825119) and next prime (51825121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51825121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47946 + ... + 49014.

It is an arithmetic number, because the mean of its divisors is an integer number (1718955).

Almost surely, 2^51825120 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 51825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82509840).

51825120 is an abundant number, since it is smaller than the sum of its proper divisors (113194560).

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

51825120 is a wasteful number, since it uses less digits than its factorization.

51825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 51825120 is about 7198.9665925048. The cubic root of 51825120 is about 372.8322216680.

Adding to 51825120 its reverse (2152815), we get a palindrome (53977935).

The spelling of 51825120 in words is "fifty-one million, eight hundred twenty-five thousand, one hundred twenty".