51988014 has 64 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 15818976.

The previous prime is 51988007. The next prime is 51988019. The reversal of 51988014 is 41088915.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51988014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51988019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71947 + ... + 72665.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^51988014 is an apocalyptic number.

51988014 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51988014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

51988014 is an abundant number, since it is smaller than the sum of its proper divisors (73810386).

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

51988014 is a wasteful number, since it uses less digits than its factorization.

51988014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 51988014 is about 7210.2714234625. The cubic root of 51988014 is about 373.2224353506. Note that the first 3 decimals are identical.

The spelling of 51988014 in words is "fifty-one million, nine hundred eighty-eight thousand, fourteen".