51122688 has 80 divisors (see below), whose sum is σ = 138178656. Its totient is φ = 16793600.

The previous prime is 51122683. The next prime is 51122693. The reversal of 51122688 is 88622115.

It is an interprime number because it is at equal distance from previous prime (51122683) and next prime (51122693).

It is a super-2 number, since 2×51122688² = 5227058456690688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51122681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127288 + ... + 127688.

Almost surely, 2^51122688 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 51122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69089328).

51122688 is an abundant number, since it is smaller than the sum of its proper divisors (87055968).

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

51122688 is an equidigital number, since it uses as much as digits as its factorization.

51122688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 51122688 is about 7150.0131468411. The cubic root of 51122688 is about 371.1401112260.

The spelling of 51122688 in words is "fifty-one million, one hundred twenty-two thousand, six hundred eighty-eight".