51577520 has 40 divisors (see below), whose sum is σ = 121450560. Its totient is φ = 20367360.

The previous prime is 51577517. The next prime is 51577529. The reversal of 51577520 is 2577515.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (51577529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2240 + ... + 10400.

It is an arithmetic number, because the mean of its divisors is an integer number (3036264).

Almost surely, 2^51577520 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 51577520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60725280).

51577520 is an abundant number, since it is smaller than the sum of its proper divisors (69873040).

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

51577520 is a wasteful number, since it uses less digits than its factorization.

51577520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 32.

The square root of 51577520 is about 7181.7490905768. The cubic root of 51577520 is about 372.2375251087.

The spelling of 51577520 in words is "fifty-one million, five hundred seventy-seven thousand, five hundred twenty".