51457123757201 has 4 divisors (see below), whose sum is σ = 51741417258804. Its totient is φ = 51172830255600.

The previous prime is 51457123757167. The next prime is 51457123757293. The reversal of 51457123757201 is 10275732175415.

51457123757201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3217861945600 + 48239261811601 = 1793840^2 + 6945449^2 .

It is a cyclic number.

It is not a de Polignac number, because 51457123757201 - 2²² = 51457119562897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51457123757201.

It is not an unprimeable number, because it can be changed into a prime (51457123157201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142146750530 + ... + 142146750891.

It is an arithmetic number, because the mean of its divisors is an integer number (12935354314701).

Almost surely, 2^{51457123757201} is an apocalyptic number.

It is an amenable number.

51457123757201 is a deficient number, since it is larger than the sum of its proper divisors (284293501603).

51457123757201 is a wasteful number, since it uses less digits than its factorization.

51457123757201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284293501602.

The product of its (nonzero) digits is 2058000, while the sum is 50.

The spelling of 51457123757201 in words is "fifty-one trillion, four hundred fifty-seven billion, one hundred twenty-three million, seven hundred fifty-seven thousand, two hundred one".