51606312 has 64 divisors (see below), whose sum is σ = 136080000. Its totient is φ = 16283904.

The previous prime is 51606311. The next prime is 51606343. The reversal of 51606312 is 21360615.

It is a super-2 number, since 2×51606312² = 5326422876482688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51606311) 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, 36189 + ... + 37587.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 2^51606312 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 51606312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68040000).

51606312 is an abundant number, since it is smaller than the sum of its proper divisors (84473688).

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

51606312 is a wasteful number, since it uses less digits than its factorization.

51606312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 51606312 is about 7183.7533365226. The cubic root of 51606312 is about 372.3067766559.

Adding to 51606312 its reverse (21360615), we get a palindrome (72966927).

The spelling of 51606312 in words is "fifty-one million, six hundred six thousand, three hundred twelve".