51305652 has 72 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 16587648.

The previous prime is 51305647. The next prime is 51305671. The reversal of 51305652 is 25650315.

51305652 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 5 + 652 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214549 + ... + 214787.

It is an arithmetic number, because the mean of its divisors is an integer number (1856400).

Almost surely, 2^51305652 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 51305652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

51305652 is an abundant number, since it is smaller than the sum of its proper divisors (82355148).

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

51305652 is a wasteful number, since it uses less digits than its factorization.

51305652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 51305652 is about 7162.7963813025. The cubic root of 51305652 is about 371.5823443027.

Adding to 51305652 its reverse (25650315), we get a palindrome (76955967).

The spelling of 51305652 in words is "fifty-one million, three hundred five thousand, six hundred fifty-two".