2951871046201 has 81 divisors (see below), whose sum is σ = 3856069350189. Its totient is φ = 2251399550400.

The previous prime is 2951871046193. The next prime is 2951871046231. The reversal of 2951871046201 is 1026401781592.

The square root of 2951871046201 is 1718101.

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

2951871046201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 648081351225 + 2303789694976 = 805035^2 + 1517824^2 .

It is not a de Polignac number, because 2951871046201 - 2³ = 2951871046193 is a prime.

It is a super-3 number, since 3×2951871046201³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2951871046231) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7011569971 + ... + 7011570391.

Almost surely, 2^{2951871046201} is an apocalyptic number.

2951871046201 is the 1718101-st square number.

2951871046201 is the 859051-st centered octagonal number.

It is an amenable number.

2951871046201 is a deficient number, since it is larger than the sum of its proper divisors (904198303988).

2951871046201 is an frugal number, since it uses more digits than its factorization.

2951871046201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 2951871046201 in words is "two trillion, nine hundred fifty-one billion, eight hundred seventy-one million, forty-six thousand, two hundred one".