51977520 has 120 divisors (see below), whose sum is σ = 199514016. Its totient is φ = 11879424.

The previous prime is 51977501. The next prime is 51977531. The reversal of 51977520 is 2577915.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 117 + ... + 10196.

Almost surely, 2^51977520 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 51977520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99757008).

51977520 is an abundant number, since it is smaller than the sum of its proper divisors (147536496).

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

51977520 is a wasteful number, since it uses less digits than its factorization.

51977520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10330 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 51977520 is about 7209.5436748798. The cubic root of 51977520 is about 373.1973214863.

The spelling of 51977520 in words is "fifty-one million, nine hundred seventy-seven thousand, five hundred twenty".