245253743361 has 81 divisors (see below), whose sum is σ = 399799856547. Its totient is φ = 144765925920.

The previous prime is 245253743351. The next prime is 245253743363. The reversal of 245253743361 is 163347352542.

It is a happy number.

The square root of 245253743361 is 495231.

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

245253743361 is a `hidden beast` number, since 2 + 4 + 52 + 537 + 4 + 3 + 3 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 180014366961 + 65239376400 = 424281^2 + 255420^2 .

It is not a de Polignac number, because 245253743361 - 2¹³ = 245253735169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (245253743363) 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, 702732615 + ... + 702732963.

Almost surely, 2^245253743361 is an apocalyptic number.

245253743361 is the 495231-st square number.

245253743361 is the 247616-th centered octagonal number.

It is an amenable number.

245253743361 is a deficient number, since it is larger than the sum of its proper divisors (154546113186).

245253743361 is an equidigital number, since it uses as much as digits as its factorization.

245253743361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 406 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The spelling of 245253743361 in words is "two hundred forty-five billion, two hundred fifty-three million, seven hundred forty-three thousand, three hundred sixty-one".