51465648 has 80 divisors (see below), whose sum is σ = 145435136. Its totient is φ = 15586560.

The previous prime is 51465599. The next prime is 51465649. The reversal of 51465648 is 84656415.

It is a happy number.

It is a super-3 number, since 3×51465648³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (51465649) 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 15 ways as a sum of consecutive naturals, for example, 41193 + ... + 42423.

Almost surely, 2^51465648 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 51465648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72717568).

51465648 is an abundant number, since it is smaller than the sum of its proper divisors (93969488).

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

51465648 is a wasteful number, since it uses less digits than its factorization.

51465648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 51465648 is about 7173.9562307000. The cubic root of 51465648 is about 371.9682016987.

The spelling of 51465648 in words is "fifty-one million, four hundred sixty-five thousand, six hundred forty-eight".