51582961 has 8 divisors (see below), whose sum is σ = 52975944. Its totient is φ = 50196480.

The previous prime is 51582941. The next prime is 51583001. The reversal of 51582961 is 16928515.

It can be written as a sum of positive squares in 4 ways, for example, as 15210000 + 36372961 = 3900^2 + 6031^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51582961 - 2¹⁷ = 51451889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51582961.

It is not an unprimeable number, because it can be changed into a prime (51582911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17361 + ... + 20113.

It is an arithmetic number, because the mean of its divisors is an integer number (6621993).

Almost surely, 2^51582961 is an apocalyptic number.

It is an amenable number.

51582961 is a deficient number, since it is larger than the sum of its proper divisors (1392983).

51582961 is a wasteful number, since it uses less digits than its factorization.

51582961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251.

The product of its digits is 21600, while the sum is 37.

The square root of 51582961 is about 7182.1278880287. The cubic root of 51582961 is about 372.2506139709.

The spelling of 51582961 in words is "fifty-one million, five hundred eighty-two thousand, nine hundred sixty-one".