51257591 has 32 divisors (see below), whose sum is σ = 66451968. Its totient is φ = 38384640.

The previous prime is 51257561. The next prime is 51257599. The reversal of 51257591 is 19575215.

51257591 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 51257591 - 2¹⁴ = 51241207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51257599) 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 31 ways as a sum of consecutive naturals, for example, 374075 + ... + 374211.

It is an arithmetic number, because the mean of its divisors is an integer number (2076624).

Almost surely, 2^51257591 is an apocalyptic number.

51257591 is a deficient number, since it is larger than the sum of its proper divisors (15194377).

51257591 is a wasteful number, since it uses less digits than its factorization.

51257591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its digits is 15750, while the sum is 35.

The square root of 51257591 is about 7159.4406904450. The cubic root of 51257591 is about 371.4662804276.

The spelling of 51257591 in words is "fifty-one million, two hundred fifty-seven thousand, five hundred ninety-one".