42125463106245 has 12 divisors (see below), whose sum is σ = 73017469384236. Its totient is φ = 22466913656640.

The previous prime is 42125463106213. The next prime is 42125463106271. The reversal of 42125463106245 is 54260136452124.

It is a happy number.

42125463106245 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 5 + 4 + 6 + 3 + 10 + 624 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20678764906881 + 21446698199364 = 4547391^2 + 4631058^2 .

It is not a de Polignac number, because 42125463106245 - 2⁵ = 42125463106213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 936121402361 = 42125463106245 / (4 + 2 + 1 + 2 + 5 + 4 + 6 + 3 + 1 + 0 + 6 + 2 + 4 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42125463106245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468060701136 + ... + 468060701225.

It is an arithmetic number, because the mean of its divisors is an integer number (6084789115353).

Almost surely, 2^{42125463106245} is an apocalyptic number.

42125463106245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42125463106245 is a deficient number, since it is larger than the sum of its proper divisors (30892006277991).

42125463106245 is a wasteful number, since it uses less digits than its factorization.

42125463106245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936121402372 (or 936121402369 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 42125463106245 its reverse (54260136452124), we get a palindrome (96385599558369).

The spelling of 42125463106245 in words is "forty-two trillion, one hundred twenty-five billion, four hundred sixty-three million, one hundred six thousand, two hundred forty-five".