254020501242135 has 48 divisors (see below), whose sum is σ = 442544964825600. Its totient is φ = 134787612738240.

The previous prime is 254020501242127. The next prime is 254020501242139. The reversal of 254020501242135 is 531242105020452.

254020501242135 is a `hidden beast` number, since 2 + 5 + 402 + 0 + 5 + 0 + 1 + 242 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 254020501242135 - 2³ = 254020501242127 is a prime.

It is a super-3 number, since 3×254020501242135³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 254020501242135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254020501242139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131314102 + ... + 133234508.

It is an arithmetic number, because the mean of its divisors is an integer number (9219686767200).

Almost surely, 2^{254020501242135} is an apocalyptic number.

254020501242135 is a deficient number, since it is larger than the sum of its proper divisors (188524463583465).

254020501242135 is a wasteful number, since it uses less digits than its factorization.

254020501242135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935388 (or 1935385 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 254020501242135 its reverse (531242105020452), we get a palindrome (785262606262587).

The spelling of 254020501242135 in words is "two hundred fifty-four trillion, twenty billion, five hundred one million, two hundred forty-two thousand, one hundred thirty-five".