51201657 has 48 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 29487744.

The previous prime is 51201649. The next prime is 51201727. The reversal of 51201657 is 75610215.

51201657 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 1 + 657 = 666.

51201657 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 51201657 - 2³ = 51201649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51201657.

It is not an unprimeable number, because it can be changed into a prime (51201757) 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 47 ways as a sum of consecutive naturals, for example, 142444 + ... + 142802.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^51201657 is an apocalyptic number.

It is an amenable number.

51201657 is a deficient number, since it is larger than the sum of its proper divisors (33712263).

51201657 is a wasteful number, since it uses less digits than its factorization.

51201657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 51201657 is about 7155.5333134575. The cubic root of 51201657 is about 371.3311124337.

The spelling of 51201657 in words is "fifty-one million, two hundred one thousand, six hundred fifty-seven".