51144864 has 48 divisors (see below), whose sum is σ = 138892320. Its totient is φ = 16459520.

The previous prime is 51144859. The next prime is 51144869. The reversal of 51144864 is 46844115.

It is an interprime number because it is at equal distance from previous prime (51144859) and next prime (51144869).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×51144864² = 5231594227156992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51144869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6402 + ... + 11969.

It is an arithmetic number, because the mean of its divisors is an integer number (2893590).

Almost surely, 2^51144864 is an apocalyptic number.

It is an amenable number.

51144864 is an abundant number, since it is smaller than the sum of its proper divisors (87747456).

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

51144864 is a wasteful number, since it uses less digits than its factorization.

51144864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18413 (or 18405 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 51144864 is about 7151.5637450840. The cubic root of 51144864 is about 371.1937678551.

Adding to 51144864 its reverse (46844115), we get a palindrome (97988979).

The spelling of 51144864 in words is "fifty-one million, one hundred forty-four thousand, eight hundred sixty-four".