51000657 has 16 divisors (see below), whose sum is σ = 69033600. Its totient is φ = 33488000.

The previous prime is 51000643. The next prime is 51000659. The reversal of 51000657 is 75600015.

It is a cyclic number.

It is not a de Polignac number, because 51000657 - 2⁴ = 51000641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51000659) 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 15 ways as a sum of consecutive naturals, for example, 84844 + ... + 85442.

It is an arithmetic number, because the mean of its divisors is an integer number (4314600).

Almost surely, 2^51000657 is an apocalyptic number.

It is an amenable number.

51000657 is a deficient number, since it is larger than the sum of its proper divisors (18032943).

51000657 is a wasteful number, since it uses less digits than its factorization.

51000657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 51000657 is about 7141.4744275955. The cubic root of 51000657 is about 370.8445693632.

The spelling of 51000657 in words is "fifty-one million, six hundred fifty-seven", and thus it is an aban number.