51461601 has 16 divisors (see below), whose sum is σ = 74426688. Its totient is φ = 31500800.

The previous prime is 51461593. The next prime is 51461611. The reversal of 51461601 is 10616415.

51461601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 51461601 - 2³ = 51461593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51461611) by changing a digit.

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, 10215 + ... + 14396.

It is an arithmetic number, because the mean of its divisors is an integer number (4651668).

Almost surely, 2^51461601 is an apocalyptic number.

51461601 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

51461601 is a deficient number, since it is larger than the sum of its proper divisors (22965087).

51461601 is a wasteful number, since it uses less digits than its factorization.

51461601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24672.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 51461601 is about 7173.6741632165. The cubic root of 51461601 is about 371.9584515396.

The spelling of 51461601 in words is "fifty-one million, four hundred sixty-one thousand, six hundred one".