4951118962321 has 27 divisors (see below), whose sum is σ = 5904127410993. Its totient is φ = 4139774513280.

The previous prime is 4951118962271. The next prime is 4951118962337. The reversal of 4951118962321 is 1232698111594.

The square root of 4951118962321 is 2225111.

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 115236486225 + 4835882476096 = 339465^2 + 2199064^2 .

It is not a de Polignac number, because 4951118962321 - 2¹⁵ = 4951118929553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4951118962721) 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, 638602981 + ... + 638610733.

Almost surely, 2^{4951118962321} is an apocalyptic number.

4951118962321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4951118962321 is the 2225111-st square number.

4951118962321 is the 1112556-th centered octagonal number.

It is an amenable number.

4951118962321 is a deficient number, since it is larger than the sum of its proper divisors (953008448672).

4951118962321 is an frugal number, since it uses more digits than its factorization.

4951118962321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15602 (or 7801 counting only the distinct ones).

The product of its digits is 933120, while the sum is 52.

The spelling of 4951118962321 in words is "four trillion, nine hundred fifty-one billion, one hundred eighteen million, nine hundred sixty-two thousand, three hundred twenty-one".