254401111242531 has 128 divisors (see below), whose sum is σ = 423473998970880. Its totient is φ = 149609623363200.

The previous prime is 254401111242493. The next prime is 254401111242611. The reversal of 254401111242531 is 135242111104452.

254401111242531 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 0 + 1 + 1 + 112 + 4 + 2 + 531 = 666.

It is not a de Polignac number, because 254401111242531 - 2¹⁴ = 254401111226147 is a prime.

It is a super-2 number, since 2×254401111242531² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (254401111232531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16262928396 + ... + 16262944038.

It is an arithmetic number, because the mean of its divisors is an integer number (3308390616960).

Almost surely, 2^{254401111242531} is an apocalyptic number.

254401111242531 is a deficient number, since it is larger than the sum of its proper divisors (169072887728349).

254401111242531 is a wasteful number, since it uses less digits than its factorization.

254401111242531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23974 (or 23968 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 254401111242531 its reverse (135242111104452), we get a palindrome (389643222346983).

The spelling of 254401111242531 in words is "two hundred fifty-four trillion, four hundred one billion, one hundred eleven million, two hundred forty-two thousand, five hundred thirty-one".