1248473257201 has 9 divisors (see below), whose sum is σ = 1257076139851. Its totient is φ = 1239928874104.

The previous prime is 1248473257189. The next prime is 1248473257237. The reversal of 1248473257201 is 1027523748421.

The square root of 1248473257201 is 1117351.

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., 146267237601 + 1102206019600 = 382449^2 + 1049860^2 .

It is not a de Polignac number, because 1248473257201 - 2¹¹ = 1248473255153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1248473257301) 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, 166481550 + ... + 166489048.

Almost surely, 2^{1248473257201} is an apocalyptic number.

1248473257201 is the 1117351-st square number.

1248473257201 is the 558676-th centered octagonal number.

It is an amenable number.

1248473257201 is a deficient number, since it is larger than the sum of its proper divisors (8602882650).

1248473257201 is an frugal number, since it uses more digits than its factorization.

1248473257201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15296 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 1248473257201 in words is "one trillion, two hundred forty-eight billion, four hundred seventy-three million, two hundred fifty-seven thousand, two hundred one".