2317248107001 has 45 divisors (see below), whose sum is σ = 3507578417343. Its totient is φ = 1524564821520.

The previous prime is 2317248106931. The next prime is 2317248107017. The reversal of 2317248107001 is 1007018427132.

The square root of 2317248107001 is 1522251.

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

2317248107001 is a `hidden beast` number, since 2 + 3 + 172 + 481 + 0 + 7 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2210279863401 + 106968243600 = 1486701^2 + 327060^2 .

It is not a de Polignac number, because 2317248107001 - 2¹¹ = 2317248104953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2317248107021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1082319391 + ... + 1082321531.

Almost surely, 2^{2317248107001} is an apocalyptic number.

2317248107001 is the 1522251-st square number.

2317248107001 is the 761126-th centered octagonal number.

It is an amenable number.

2317248107001 is a deficient number, since it is larger than the sum of its proper divisors (1190330310342).

2317248107001 is an frugal number, since it uses more digits than its factorization.

2317248107001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Multiplying 2317248107001 by its sum of digits (36), we get a square (83420931852036 = 9133506²).

It can be divided in two parts, 2317248 and 107001, that added together give a square (2424249 = 1557²).

The spelling of 2317248107001 in words is "two trillion, three hundred seventeen billion, two hundred forty-eight million, one hundred seven thousand, one".