51460585 has 16 divisors (see below), whose sum is σ = 67533120. Its totient is φ = 37333440.

The previous prime is 51460571. The next prime is 51460597. The reversal of 51460585 is 58506415.

It is a happy number.

51460585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51460585 - 2⁷ = 51460457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51460585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27871 + ... + 29659.

It is an arithmetic number, because the mean of its divisors is an integer number (4220820).

Almost surely, 2^51460585 is an apocalyptic number.

51460585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51460585 is a deficient number, since it is larger than the sum of its proper divisors (16072535).

51460585 is a wasteful number, since it uses less digits than its factorization.

51460585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328.

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 51460585 is about 7173.6033483878. The cubic root of 51460585 is about 371.9560036803.

The spelling of 51460585 in words is "fifty-one million, four hundred sixty thousand, five hundred eighty-five".