42511542401345 has 8 divisors (see below), whose sum is σ = 54014665639464. Its totient is φ = 32008690749184.

The previous prime is 42511542401303. The next prime is 42511542401381. The reversal of 42511542401345 is 54310424511524.

42511542401345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11746138525696 + 30765403875649 = 3427264^2 + 5546657^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42511542401345 - 2¹⁸ = 42511542139201 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 250067896394 + ... + 250067896563.

It is an arithmetic number, because the mean of its divisors is an integer number (6751833204933).

Almost surely, 2^{42511542401345} is an apocalyptic number.

It is an amenable number.

42511542401345 is a deficient number, since it is larger than the sum of its proper divisors (11503123238119).

42511542401345 is a wasteful number, since it uses less digits than its factorization.

42511542401345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500135792979.

The product of its (nonzero) digits is 384000, while the sum is 41.

Adding to 42511542401345 its reverse (54310424511524), we get a palindrome (96821966912869).

The spelling of 42511542401345 in words is "forty-two trillion, five hundred eleven billion, five hundred forty-two million, four hundred one thousand, three hundred forty-five".