51114024 has 128 divisors (see below), whose sum is σ = 155232000. Its totient is φ = 15489792.

The previous prime is 51114023. The next prime is 51114097. The reversal of 51114024 is 42041115.

It is a super-2 number, since 2×51114024² = 5225286898945152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51113988 and 51114006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51114023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305989 + ... + 306155.

It is an arithmetic number, because the mean of its divisors is an integer number (1212750).

Almost surely, 2^51114024 is an apocalyptic number.

51114024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77616000).

51114024 is an abundant number, since it is smaller than the sum of its proper divisors (104117976).

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

51114024 is a wasteful number, since it uses less digits than its factorization.

51114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51114024 is about 7149.4072481570. The cubic root of 51114024 is about 371.1191437605.

Adding to 51114024 its reverse (42041115), we get a palindrome (93155139).

It can be divided in two parts, 511 and 14024, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 51114024 in words is "fifty-one million, one hundred fourteen thousand, twenty-four".