51177984 has 160 divisors (see below), whose sum is σ = 160864704. Its totient is φ = 14254080.

The previous prime is 51177983. The next prime is 51178009. The reversal of 51177984 is 48977115.

It is not an unprimeable number, because it can be changed into a prime (51177983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219532 + ... + 219764.

Almost surely, 2^51177984 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 51177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432352).

51177984 is an abundant number, since it is smaller than the sum of its proper divisors (109686720).

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

51177984 is a wasteful number, since it uses less digits than its factorization.

51177984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its digits is 70560, while the sum is 42.

The square root of 51177984 is about 7153.8789478157. The cubic root of 51177984 is about 371.2738755065.

The spelling of 51177984 in words is "fifty-one million, one hundred seventy-seven thousand, nine hundred eighty-four".