51125606251753 has 16 divisors (see below), whose sum is σ = 56480665017600. Its totient is φ = 45888453636480.

The previous prime is 51125606251739. The next prime is 51125606251771. The reversal of 51125606251753 is 35715260652115.

It is a cyclic number.

It is not a de Polignac number, because 51125606251753 - 2¹⁷ = 51125606120681 is a prime.

It is a super-2 number, since 2×51125606251753² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51125606251697 and 51125606251706.

It is not an unprimeable number, because it can be changed into a prime (51125606251703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38922133 + ... + 40214221.

It is an arithmetic number, because the mean of its divisors is an integer number (3530041563600).

Almost surely, 2^{51125606251753} is an apocalyptic number.

It is an amenable number.

51125606251753 is a deficient number, since it is larger than the sum of its proper divisors (5355058765847).

51125606251753 is a wasteful number, since it uses less digits than its factorization.

51125606251753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337712.

The product of its (nonzero) digits is 1890000, while the sum is 49.

The spelling of 51125606251753 in words is "fifty-one trillion, one hundred twenty-five billion, six hundred six million, two hundred fifty-one thousand, seven hundred fifty-three".