51123024 has 60 divisors (see below), whose sum is σ = 144717300. Its totient is φ = 16845312.

The previous prime is 51122987. The next prime is 51123031. The reversal of 51123024 is 42032115.

It can be written as a sum of positive squares in 2 ways, for example, as 16548624 + 34574400 = 4068^2 + 5880^2 .

It is a super-2 number, since 2×51123024² = 5227127165809152, 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 = 51122988 and 51123006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10822 + ... + 14810.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^51123024 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 51123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72358650).

51123024 is an abundant number, since it is smaller than the sum of its proper divisors (93594276).

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

51123024 is a wasteful number, since it uses less digits than its factorization.

51123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51123024 is about 7150.0366432627. The cubic root of 51123024 is about 371.1409243210.

Adding to 51123024 its reverse (42032115), we get a palindrome (93155139).

Subtracting from 51123024 its reverse (42032115), we obtain a palindrome (9090909).

The spelling of 51123024 in words is "fifty-one million, one hundred twenty-three thousand, twenty-four".