51258528 has 96 divisors (see below), whose sum is σ = 153256320. Its totient is φ = 16657920.

The previous prime is 51258527. The next prime is 51258547. The reversal of 51258528 is 82585215.

51258528 is a `hidden beast` number, since 5 + 125 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 51258492 and 51258501.

It is not an unprimeable number, because it can be changed into a prime (51258527) 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, 34701 + ... + 36147.

It is an arithmetic number, because the mean of its divisors is an integer number (1596420).

Almost surely, 2^51258528 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 51258528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76628160).

51258528 is an abundant number, since it is smaller than the sum of its proper divisors (101997792).

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

51258528 is a wasteful number, since it uses less digits than its factorization.

51258528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1493 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 51258528 is about 7159.5061282186. The cubic root of 51258528 is about 371.4685439088.

The spelling of 51258528 in words is "fifty-one million, two hundred fifty-eight thousand, five hundred twenty-eight".