51606126 has 128 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 13996800.

The previous prime is 51606059. The next prime is 51606127. The reversal of 51606126 is 62160615.

It is a happy number.

51606126 is a `hidden beast` number, since 51 + 606 + 1 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51606126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51606127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316521 + ... + 316683.

It is an arithmetic number, because the mean of its divisors is an integer number (1084860).

Almost surely, 2^51606126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51606126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

51606126 is an abundant number, since it is smaller than the sum of its proper divisors (87255954).

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

51606126 is a wasteful number, since it uses less digits than its factorization.

51606126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51606126 is about 7183.7403906322. The cubic root of 51606126 is about 372.3063293647.

The spelling of 51606126 in words is "fifty-one million, six hundred six thousand, one hundred twenty-six".