51256401 has 24 divisors (see below), whose sum is σ = 80476704. Its totient is φ = 28929600.

The previous prime is 51256399. The next prime is 51256417. The reversal of 51256401 is 10465215.

It is not a de Polignac number, because 51256401 - 2¹ = 51256399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51256421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10101 + ... + 14301.

It is an arithmetic number, because the mean of its divisors is an integer number (3353196).

Almost surely, 2^51256401 is an apocalyptic number.

It is an amenable number.

51256401 is a deficient number, since it is larger than the sum of its proper divisors (29220303).

51256401 is a wasteful number, since it uses less digits than its factorization.

51256401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 51256401 is about 7159.3575829120. The cubic root of 51256401 is about 371.4634057426.

The spelling of 51256401 in words is "fifty-one million, two hundred fifty-six thousand, four hundred one".