51351984 has 90 divisors (see below), whose sum is σ = 152390420. Its totient is φ = 16098048.

The previous prime is 51351983. The next prime is 51351991. The reversal of 51351984 is 48915315.

51351984 is a `hidden beast` number, since 513 + 51 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51351983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 374764 + ... + 374900.

Almost surely, 2^51351984 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 51351984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76195210).

51351984 is an abundant number, since it is smaller than the sum of its proper divisors (101038436).

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

51351984 is a wasteful number, since it uses less digits than its factorization.

51351984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 161 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 51351984 is about 7166.0298631809. The cubic root of 51351984 is about 371.6941641686.

The spelling of 51351984 in words is "fifty-one million, three hundred fifty-one thousand, nine hundred eighty-four".