253856301361 has 8 divisors (see below), whose sum is σ = 273405317864. Its totient is φ = 234310371840.

The previous prime is 253856301343. The next prime is 253856301401. The reversal of 253856301361 is 163103658352.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77587317025 + 176268984336 = 278545^2 + 419844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253856301361 - 2²⁵ = 253822746929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253856301301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 599520 + ... + 931201.

It is an arithmetic number, because the mean of its divisors is an integer number (34175664733).

Almost surely, 2^253856301361 is an apocalyptic number.

It is an amenable number.

253856301361 is a deficient number, since it is larger than the sum of its proper divisors (19549016503).

253856301361 is a wasteful number, since it uses less digits than its factorization.

253856301361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543491.

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 253856301361 in words is "two hundred fifty-three billion, eight hundred fifty-six million, three hundred one thousand, three hundred sixty-one".