4919271151249 has 27 divisors (see below), whose sum is σ = 6196718123793. Its totient is φ = 3892010889312.

The previous prime is 4919271151231. The next prime is 4919271151309. The reversal of 4919271151249 is 9421511729194.

The square root of 4919271151249 is 2217943.

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 1469930733649 + 3449340417600 = 1212407^2 + 1857240^2 .

It is not a de Polignac number, because 4919271151249 - 2¹³ = 4919271143057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4919271151249.

It is not an unprimeable number, because it can be changed into a prime (4919271151349) 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, 201820627 + ... + 201844999.

It is an arithmetic number, because the mean of its divisors is an integer number (229508078659).

Almost surely, 2^{4919271151249} is an apocalyptic number.

4919271151249 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4919271151249 is the 2217943-rd square number.

4919271151249 is the 1108972-nd centered octagonal number.

It is an amenable number.

4919271151249 is a deficient number, since it is larger than the sum of its proper divisors (1277446972544).

4919271151249 is an frugal number, since it uses more digits than its factorization.

4919271151249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48786 (or 24393 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 55.

It can be divided in two parts, 4919271 and 151249, that added together give a triangular number (5070520 = T₃₁₈₄).

The spelling of 4919271151249 in words is "four trillion, nine hundred nineteen billion, two hundred seventy-one million, one hundred fifty-one thousand, two hundred forty-nine".