253407206475361 has 27 divisors (see below), whose sum is σ = 261998227108107. Its totient is φ = 245093008533120.

The previous prime is 253407206475347. The next prime is 253407206475377. The reversal of 253407206475361 is 163574602704352.

The square root of 253407206475361 is 15918769.

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

253407206475361 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 13 ways, for example, as 204454794915361 + 48952411560000 = 14298769^2 + 6996600^2 .

It is not a de Polignac number, because 253407206475361 - 2¹¹ = 253407206473313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253407206475331) 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, 106607994805 + ... + 106607997181.

It is an arithmetic number, because the mean of its divisors is an integer number (9703638041041).

Almost surely, 2^{253407206475361} is an apocalyptic number.

253407206475361 is the 15918769-th square number.

253407206475361 is the 7959385-th centered octagonal number.

It is an amenable number.

253407206475361 is a deficient number, since it is larger than the sum of its proper divisors (8591020632746).

253407206475361 is an frugal number, since it uses more digits than its factorization.

253407206475361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 55.

The spelling of 253407206475361 in words is "two hundred fifty-three trillion, four hundred seven billion, two hundred six million, four hundred seventy-five thousand, three hundred sixty-one".