51508368 has 120 divisors (see below), whose sum is σ = 155902968. Its totient is φ = 15814656.

The previous prime is 51508361. The next prime is 51508393. The reversal of 51508368 is 86380515.

51508368 is a `hidden beast` number, since 515 + 0 + 83 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23503104 + 28005264 = 4848^2 + 5292^2 .

It is a super-2 number, since 2×51508368² = 5306223948046848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51508361) 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, 129546 + ... + 129942.

Almost surely, 2^51508368 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 51508368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77951484).

51508368 is an abundant number, since it is smaller than the sum of its proper divisors (104394600).

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

51508368 is a wasteful number, since it uses less digits than its factorization.

51508368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51508368 is about 7176.9330497086. The cubic root of 51508368 is about 372.0710928989.

The spelling of 51508368 in words is "fifty-one million, five hundred eight thousand, three hundred sixty-eight".