51505116 has 72 divisors (see below), whose sum is σ = 131891760. Its totient is φ = 15634944.

The previous prime is 51505109. The next prime is 51505123. The reversal of 51505116 is 61150515.

It is an interprime number because it is at equal distance from previous prime (51505109) and next prime (51505123).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220936 + ... + 221168.

It is an arithmetic number, because the mean of its divisors is an integer number (1831830).

Almost surely, 2^51505116 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 51505116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65945880).

51505116 is an abundant number, since it is smaller than the sum of its proper divisors (80386644).

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

51505116 is a wasteful number, since it uses less digits than its factorization.

51505116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 51505116 is about 7176.7064869618. The cubic root of 51505116 is about 372.0632624517.

The spelling of 51505116 in words is "fifty-one million, five hundred five thousand, one hundred sixteen".