4977035279329 has 9 divisors (see below), whose sum is σ = 5287063924051. Its totient is φ = 4684232803360.

The previous prime is 4977035279327. The next prime is 4977035279341. The reversal of 4977035279329 is 9239725307794.

The square root of 4977035279329 is 2230927.

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., 3874854456225 + 1102180823104 = 1968465^2 + 1049848^2 .

It is not a de Polignac number, because 4977035279329 - 2¹ = 4977035279327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4977035279327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37860144 + ... + 37991374.

Almost surely, 2^{4977035279329} is an apocalyptic number.

4977035279329 is the 2230927-th square number.

4977035279329 is the 1115464-th centered octagonal number.

It is an amenable number.

4977035279329 is a deficient number, since it is larger than the sum of its proper divisors (310028644722).

4977035279329 is an frugal number, since it uses more digits than its factorization.

4977035279329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262496 (or 131248 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 67.

The spelling of 4977035279329 in words is "four trillion, nine hundred seventy-seven billion, thirty-five million, two hundred seventy-nine thousand, three hundred twenty-nine".