51551136 has 216 divisors, whose sum is σ = 184304484. Its totient is φ = 13547520.

The previous prime is 51551131. The next prime is 51551141. The reversal of 51551136 is 63115515.

It is an interprime number because it is at equal distance from previous prime (51551131) and next prime (51551141).

It can be written as a sum of positive squares in 2 ways, for example, as 50979600 + 571536 = 7140^2 + 756^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51551131) 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 35 ways as a sum of consecutive naturals, for example, 183316 + ... + 183596.

Almost surely, 2^51551136 is an apocalyptic number.

51551136 is a gapful number since it is divisible by the number (56) 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 51551136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92152242).

51551136 is an abundant number, since it is smaller than the sum of its proper divisors (132753348).

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

51551136 is a wasteful number, since it uses less digits than its factorization.

51551136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its digits is 2250, while the sum is 27.

The square root of 51551136 is about 7179.9119771763. The cubic root of 51551136 is about 372.1740427364.

The spelling of 51551136 in words is "fifty-one million, five hundred fifty-one thousand, one hundred thirty-six".