9251944973401 has 27 divisors (see below), whose sum is σ = 10144134381279. Its totient is φ = 8434369203312.

The previous prime is 9251944973347. The next prime is 9251944973431. The reversal of 9251944973401 is 1043794491529.

The square root of 9251944973401 is 3041701.

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., 1368630913225 + 7883314060176 = 1169885^2 + 2807724^2 .

It is not a de Polignac number, because 9251944973401 - 2¹⁹ = 9251944449113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9251944973431) 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, 3281993970 + ... + 3281996788.

Almost surely, 2^{9251944973401} is an apocalyptic number.

9251944973401 is the 3041701-st square number.

9251944973401 is the 1520851-st centered octagonal number.

It is an amenable number.

9251944973401 is a deficient number, since it is larger than the sum of its proper divisors (892189407878).

9251944973401 is an frugal number, since it uses more digits than its factorization.

9251944973401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 9251944973401 in words is "nine trillion, two hundred fifty-one billion, nine hundred forty-four million, nine hundred seventy-three thousand, four hundred one".