51532416 has 256 divisors, whose sum is σ = 173644800. Its totient is φ = 14929920.

The previous prime is 51532357. The next prime is 51532417. The reversal of 51532416 is 61423515.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51532416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51532417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392750 + ... + 1392786.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 2^51532416 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 51532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86822400).

51532416 is an abundant number, since it is smaller than the sum of its proper divisors (122112384).

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

51532416 is a wasteful number, since it uses less digits than its factorization.

51532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51532416 is about 7178.6082216541. The cubic root of 51532416 is about 372.1289875277.

It can be divided in two parts, 5153 and 2416, that added together give a square (7569 = 87²).

The spelling of 51532416 in words is "fifty-one million, five hundred thirty-two thousand, four hundred sixteen".