51387148521289 has 27 divisors (see below), whose sum is σ = 60009699154293. Its totient is φ = 43875245006208.

The previous prime is 51387148521257. The next prime is 51387148521337. The reversal of 51387148521289 is 98212584178315.

The square root of 51387148521289 is 7168483.

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 28450137173689 + 22937011347600 = 5333867^2 + 4789260^2 .

It is not a de Polignac number, because 51387148521289 - 2⁵ = 51387148521257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51387148521289.

It is not an unprimeable number, because it can be changed into a prime (51387148525289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13899686689 + ... + 13899690385.

It is an arithmetic number, because the mean of its divisors is an integer number (2222581450159).

Almost surely, 2^{51387148521289} is an apocalyptic number.

51387148521289 is the 7168483-rd square number.

51387148521289 is the 3584242-nd centered octagonal number.

It is an amenable number.

51387148521289 is a deficient number, since it is larger than the sum of its proper divisors (8622550633004).

51387148521289 is an frugal number, since it uses more digits than its factorization.

51387148521289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 3981 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 64.

The spelling of 51387148521289 in words is "fifty-one trillion, three hundred eighty-seven billion, one hundred forty-eight million, five hundred twenty-one thousand, two hundred eighty-nine".