51414912 has 224 divisors, whose sum is σ = 167229000. Its totient is φ = 15676416.

The previous prime is 51414911. The next prime is 51414977. The reversal of 51414912 is 21941415.

51414912 is a `hidden beast` number, since 514 + 149 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1440) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51414911) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1772914 + ... + 1772942.

Almost surely, 2^51414912 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 51414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83614500).

51414912 is an abundant number, since it is smaller than the sum of its proper divisors (115814088).

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

51414912 is an equidigital number, since it uses as much as digits as its factorization.

51414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 51414912 is about 7170.4192346055. The cubic root of 51414912 is about 371.8459299546.

It can be divided in two parts, 51414 and 912, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 51414912 in words is "fifty-one million, four hundred fourteen thousand, nine hundred twelve".