254401002413541 has 6 divisors (see below), whose sum is σ = 367468114597350. Its totient is φ = 169600668275688.

The previous prime is 254401002413491. The next prime is 254401002413771. The reversal of 254401002413541 is 145314200104452.

254401002413541 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 0 + 100 + 2 + 4 + 1 + 3 + 541 = 666.

254401002413541 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 only one way, i.e., 173314039084641 + 81086963328900 = 13164879^2 + 9004830^2 .

It is not a de Polignac number, because 254401002413541 - 2³⁷ = 254263563460069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 254401002413496 and 254401002413505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254401002453541) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14133389022966 + ... + 14133389022983.

It is an arithmetic number, because the mean of its divisors is an integer number (61244685766225).

Almost surely, 2^{254401002413541} is an apocalyptic number.

It is an amenable number.

254401002413541 is a deficient number, since it is larger than the sum of its proper divisors (113067112183809).

254401002413541 is a wasteful number, since it uses less digits than its factorization.

254401002413541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28266778045955 (or 28266778045952 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 254401002413541 its reverse (145314200104452), we get a palindrome (399715202517993).

The spelling of 254401002413541 in words is "two hundred fifty-four trillion, four hundred one billion, two million, four hundred thirteen thousand, five hundred forty-one".