51947520 has 192 divisors, whose sum is σ = 176904000. Its totient is φ = 12976128.

The previous prime is 51947513. The next prime is 51947527. The reversal of 51947520 is 2574915.

It is an interprime number because it is at equal distance from previous prime (51947513) and next prime (51947527).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (51947527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583636 + ... + 583724.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 2^51947520 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 51947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

51947520 is an abundant number, since it is smaller than the sum of its proper divisors (124956480).

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

51947520 is a wasteful number, since it uses less digits than its factorization.

51947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 51947520 is about 7207.4627990715. The cubic root of 51947520 is about 373.1255079130.

The spelling of 51947520 in words is "fifty-one million, nine hundred forty-seven thousand, five hundred twenty".