51967536 has 80 divisors (see below), whose sum is σ = 142773600. Its totient is φ = 16257024.

The previous prime is 51967529. The next prime is 51967537. The reversal of 51967536 is 63576915.

It is a happy number.

It is a super-2 number, since 2×51967536² = 5401249595822592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51967537) 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, 51000 + ... + 52008.

It is an arithmetic number, because the mean of its divisors is an integer number (1784670).

Almost surely, 2^51967536 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 51967536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71386800).

51967536 is an abundant number, since it is smaller than the sum of its proper divisors (90806064).

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

51967536 is a wasteful number, since it uses less digits than its factorization.

51967536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 51967536 is about 7208.8512260970. The cubic root of 51967536 is about 373.1734249976.

The spelling of 51967536 in words is "fifty-one million, nine hundred sixty-seven thousand, five hundred thirty-six".