51814846252009 has 9 divisors (see below), whose sum is σ = 51865896092997. Its totient is φ = 51763846629504.

The previous prime is 51814846251943. The next prime is 51814846252031. The reversal of 51814846252009 is 90025264841815.

The square root of 51814846252009 is 7198253.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 45725658305625 + 6089187946384 = 6762075^2 + 2467628^2 .

It is not a de Polignac number, because 51814846252009 - 2²³ = 51814837863401 is a prime.

It is a super-2 number, since 2×51814846252009² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51814846252069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8846650009 + ... + 8846655865.

Almost surely, 2^{51814846252009} is an apocalyptic number.

51814846252009 is the 7198253-rd square number.

51814846252009 is the 3599127-th centered octagonal number.

It is an amenable number.

51814846252009 is a deficient number, since it is larger than the sum of its proper divisors (51049840988).

51814846252009 is an frugal number, since it uses more digits than its factorization.

51814846252009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14172 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 51814846252009 in words is "fifty-one trillion, eight hundred fourteen billion, eight hundred forty-six million, two hundred fifty-two thousand, nine".