51509106 has 96 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 14826240.

The previous prime is 51509093. The next prime is 51509119. The reversal of 51509106 is 60190515.

51509106 is a `hidden beast` number, since 51 + 509 + 106 = 666.

It is an interprime number because it is at equal distance from previous prime (51509093) and next prime (51509119).

It is a self number, because there is not a number n which added to its sum of digits gives 51509106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578710 + ... + 578798.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^51509106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51509106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

51509106 is an abundant number, since it is smaller than the sum of its proper divisors (76535694).

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

51509106 is a wasteful number, since it uses less digits than its factorization.

51509106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 51509106 is about 7176.9844642440. The cubic root of 51509106 is about 372.0728698733.

It can be divided in two parts, 51509 and 106, that added together give a palindrome (51615).

The spelling of 51509106 in words is "fifty-one million, five hundred nine thousand, one hundred six".