51863136 has 96 divisors (see below), whose sum is σ = 151774560. Its totient is φ = 15396864.

The previous prime is 51863129. The next prime is 51863143. The reversal of 51863136 is 63136815.

51863136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51863129) and next prime (51863143).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 51863097 and 51863106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35476 + ... + 36908.

It is an arithmetic number, because the mean of its divisors is an integer number (1580985).

Almost surely, 2^51863136 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 51863136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75887280).

51863136 is an abundant number, since it is smaller than the sum of its proper divisors (99911424).

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

51863136 is a wasteful number, since it uses less digits than its factorization.

51863136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 51863136 is about 7201.6064874443. The cubic root of 51863136 is about 372.9233623189.

The spelling of 51863136 in words is "fifty-one million, eight hundred sixty-three thousand, one hundred thirty-six".