254133440050401 has 24 divisors (see below), whose sum is σ = 389181590252000. Its totient is φ = 159350615934912.

The previous prime is 254133440050397. The next prime is 254133440050411. The reversal of 254133440050401 is 104050044331452.

254133440050401 is a `hidden beast` number, since 2 + 541 + 3 + 34 + 40 + 0 + 5 + 0 + 40 + 1 = 666.

254133440050401 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 254133440050401 - 2² = 254133440050397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254133440050411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5345877196 + ... + 5345924733.

Almost surely, 2^{254133440050401} is an apocalyptic number.

It is an amenable number.

254133440050401 is a deficient number, since it is larger than the sum of its proper divisors (135048150201599).

254133440050401 is a wasteful number, since it uses less digits than its factorization.

254133440050401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691802093 (or 10691802090 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 254133440050401 its reverse (104050044331452), we get a palindrome (358183484381853).

The spelling of 254133440050401 in words is "two hundred fifty-four trillion, one hundred thirty-three billion, four hundred forty million, fifty thousand, four hundred one".