442134101251525 has 24 divisors (see below), whose sum is σ = 550298741376384. Its totient is φ = 352384233004800.

The previous prime is 442134101251519. The next prime is 442134101251561. The reversal of 442134101251525 is 525152101431244.

It is not a de Polignac number, because 442134101251525 - 2²⁵ = 442134067697093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1871565 + ... + 29795485.

It is an arithmetic number, because the mean of its divisors is an integer number (22929114224016).

Almost surely, 2^{442134101251525} is an apocalyptic number.

It is an amenable number.

442134101251525 is a deficient number, since it is larger than the sum of its proper divisors (108164640124859).

442134101251525 is a wasteful number, since it uses less digits than its factorization.

442134101251525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27926301 (or 27926296 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

Adding to 442134101251525 its reverse (525152101431244), we get a palindrome (967286202682769).

The spelling of 442134101251525 in words is "four hundred forty-two trillion, one hundred thirty-four billion, one hundred one million, two hundred fifty-one thousand, five hundred twenty-five".