51463152 has 120 divisors (see below), whose sum is σ = 159510624. Its totient is φ = 15386112.

The previous prime is 51463127. The next prime is 51463157. The reversal of 51463152 is 25136415.

51463152 is a `hidden beast` number, since 51 + 463 + 152 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51463157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68893 + ... + 69635.

Almost surely, 2^51463152 is an apocalyptic number.

51463152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51463152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79755312).

51463152 is an abundant number, since it is smaller than the sum of its proper divisors (108047472).

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

51463152 is a wasteful number, since it uses less digits than its factorization.

51463152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

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

The square root of 51463152 is about 7173.7822660017. The cubic root of 51463152 is about 371.9621883177.

Adding to 51463152 its reverse (25136415), we get a palindrome (76599567).

It can be divided in two parts, 51463 and 152, that added together give a palindrome (51615).

The spelling of 51463152 in words is "fifty-one million, four hundred sixty-three thousand, one hundred fifty-two".