51188564 has 48 divisors (see below), whose sum is σ = 111928320. Its totient is φ = 19975680.

The previous prime is 51188561. The next prime is 51188591. The reversal of 51188564 is 46588115.

51188564 = T₃₄₇ + T₃₄₈ + ... + T₇₀₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51188561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13022 + ... + 16490.

It is an arithmetic number, because the mean of its divisors is an integer number (2331840).

Almost surely, 2^51188564 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 51188564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55964160).

51188564 is an abundant number, since it is smaller than the sum of its proper divisors (60739756).

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

51188564 is a wasteful number, since it uses less digits than its factorization.

51188564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 3526 counting only the distinct ones).

The product of its digits is 38400, while the sum is 38.

The square root of 51188564 is about 7154.6183685784. The cubic root of 51188564 is about 371.2994581669.

The spelling of 51188564 in words is "fifty-one million, one hundred eighty-eight thousand, five hundred sixty-four".