42536125 has 32 divisors (see below), whose sum is σ = 57833568. Its totient is φ = 31104000.

The previous prime is 42536111. The next prime is 42536129. The reversal of 42536125 is 52163524.

42536125 = T₉₄ + T₉₅ + ... + T₆₃₄.

It can be written as a sum of positive squares in 16 ways, for example, as 16597476 + 25938649 = 4074^2 + 5093^2 .

It is not a de Polignac number, because 42536125 - 2⁹ = 42535613 is a prime.

It is a Duffinian number.

Its product of digits (7200) is a multiple of the sum of its prime divisors (600).

It is a junction number, because it is equal to n+sod(n) for n = 42536093 and 42536102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42536129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78355 + ... + 78895.

It is an arithmetic number, because the mean of its divisors is an integer number (1807299).

Almost surely, 2^42536125 is an apocalyptic number.

It is an amenable number.

42536125 is a deficient number, since it is larger than the sum of its proper divisors (15297443).

42536125 is a wasteful number, since it uses less digits than its factorization.

42536125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 42536125 is about 6521.9724777095. The cubic root of 42536125 is about 349.0754510476.

Adding to 42536125 its reverse (52163524), we get a palindrome (94699649).

The spelling of 42536125 in words is "forty-two million, five hundred thirty-six thousand, one hundred twenty-five".