51125564 has 48 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 20943360.

The previous prime is 51125539. The next prime is 51125567. The reversal of 51125564 is 46552115.

It is a happy number.

It is a super-2 number, since 2×51125564² = 5227646588636192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51125567) 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, 62792 + ... + 63600.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^51125564 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 51125564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

51125564 is an abundant number, since it is smaller than the sum of its proper divisors (55742596).

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

51125564 is a wasteful number, since it uses less digits than its factorization.

51125564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 916 counting only the distinct ones).

The product of its digits is 6000, while the sum is 29.

The square root of 51125564 is about 7150.2142625239. The cubic root of 51125564 is about 371.1470708166.

Adding to 51125564 its reverse (46552115), we get a palindrome (97677679).

The spelling of 51125564 in words is "fifty-one million, one hundred twenty-five thousand, five hundred sixty-four".