4976571257329 has 45 divisors (see below), whose sum is σ = 5924158367883. Its totient is φ = 4180276756656.

The previous prime is 4976571257321. The next prime is 4976571257401. The reversal of 4976571257329 is 9237521756794.

The square root of 4976571257329 is 2230823.

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

It can be written as a sum of positive squares in only one way, i.e., 3587595869025 + 1388975388304 = 1894095^2 + 1178548^2 .

It is not a de Polignac number, because 4976571257329 - 2³ = 4976571257321 is a prime.

It is a super-2 number, since 2×4976571257329² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4976571257321) 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 44 ways as a sum of consecutive naturals, for example, 5793446902 + ... + 5793447760.

Almost surely, 2^{4976571257329} is an apocalyptic number.

4976571257329 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4976571257329 is the 2230823-rd square number.

4976571257329 is the 1115412-nd centered octagonal number.

It is an amenable number.

4976571257329 is a deficient number, since it is larger than the sum of its proper divisors (947587110554).

4976571257329 is an frugal number, since it uses more digits than its factorization.

4976571257329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 919 counting only the distinct ones).

The product of its digits is 200037600, while the sum is 67.

The spelling of 4976571257329 in words is "four trillion, nine hundred seventy-six billion, five hundred seventy-one million, two hundred fifty-seven thousand, three hundred twenty-nine".