51405536 has 96 divisors (see below), whose sum is σ = 126443520. Its totient is φ = 20030976.

The previous prime is 51405527. The next prime is 51405539. The reversal of 51405536 is 63550415.

It is a junction number, because it is equal to n+sod(n) for n = 51405499 and 51405508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51405539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369755 + ... + 369893.

It is an arithmetic number, because the mean of its divisors is an integer number (1317120).

Almost surely, 2^51405536 is an apocalyptic number.

51405536 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 51405536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63221760).

51405536 is an abundant number, since it is smaller than the sum of its proper divisors (75037984).

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

51405536 is a wasteful number, since it uses less digits than its factorization.

51405536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 51405536 is about 7169.7654075988. The cubic root of 51405536 is about 371.8233253622.

The spelling of 51405536 in words is "fifty-one million, four hundred five thousand, five hundred thirty-six".