254132410414131 has 48 divisors (see below), whose sum is σ = 386887537700352. Its totient is φ = 160428757104000.

The previous prime is 254132410414093. The next prime is 254132410414133. The reversal of 254132410414131 is 131414014231452.

254132410414131 is a `hidden beast` number, since 2 + 5 + 4 + 132 + 4 + 104 + 1 + 413 + 1 = 666.

It is not a de Polignac number, because 254132410414131 - 2³⁴ = 254115230544947 is a prime.

It is a super-2 number, since 2×254132410414131² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254132410414133) 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, 62218231 + ... + 66176831.

It is an arithmetic number, because the mean of its divisors is an integer number (8060157035424).

Almost surely, 2^{254132410414131} is an apocalyptic number.

254132410414131 is a deficient number, since it is larger than the sum of its proper divisors (132755127286221).

254132410414131 is a wasteful number, since it uses less digits than its factorization.

254132410414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961744 (or 3961741 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 254132410414131 its reverse (131414014231452), we get a palindrome (385546424645583).

The spelling of 254132410414131 in words is "two hundred fifty-four trillion, one hundred thirty-two billion, four hundred ten million, four hundred fourteen thousand, one hundred thirty-one".