254430130521541 has 48 divisors (see below), whose sum is σ = 300766366591488. Its totient is φ = 213692543308800.

The previous prime is 254430130521517. The next prime is 254430130521551. The reversal of 254430130521541 is 145125031034452.

254430130521541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 254430130521541 - 2³⁵ = 254395770783173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 254430130521494 and 254430130521503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254430130521551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111964551 + ... + 114214363.

It is an arithmetic number, because the mean of its divisors is an integer number (6265965970656).

Almost surely, 2^{254430130521541} is an apocalyptic number.

It is an amenable number.

254430130521541 is a deficient number, since it is larger than the sum of its proper divisors (46336236069947).

254430130521541 is a wasteful number, since it uses less digits than its factorization.

254430130521541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250862 (or 2250845 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 254430130521541 its reverse (145125031034452), we get a palindrome (399555161555993).

The spelling of 254430130521541 in words is "two hundred fifty-four trillion, four hundred thirty billion, one hundred thirty million, five hundred twenty-one thousand, five hundred forty-one".