51767520 has 288 divisors, whose sum is σ = 198567936. Its totient is φ = 11289600.

The previous prime is 51767501. The next prime is 51767531. The reversal of 51767520 is 2576715.

It is a super-2 number, since 2×51767520² = 5359752253900800, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729085 + ... + 729155.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 2^51767520 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 51767520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

51767520 is an abundant number, since it is smaller than the sum of its proper divisors (146800416).

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

51767520 is a wasteful number, since it uses less digits than its factorization.

51767520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 51767520 is about 7194.9649060993. The cubic root of 51767520 is about 372.6940448089.

The spelling of 51767520 in words is "fifty-one million, seven hundred sixty-seven thousand, five hundred twenty".