42562435204125 has 24 divisors (see below), whose sum is σ = 76725883196664. Its totient is φ = 22699965441600.

The previous prime is 42562435204123. The next prime is 42562435204147. The reversal of 42562435204125 is 52140253426524.

42562435204125 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 2 + 435 + 204 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12778379998596 + 29784055205529 = 3574686^2 + 5457477^2 .

It is not a de Polignac number, because 42562435204125 - 2¹ = 42562435204123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42562435204123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18916636744 + ... + 18916638993.

It is an arithmetic number, because the mean of its divisors is an integer number (3196911799861).

Almost surely, 2^{42562435204125} is an apocalyptic number.

42562435204125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42562435204125 is a deficient number, since it is larger than the sum of its proper divisors (34163447992539).

42562435204125 is a wasteful number, since it uses less digits than its factorization.

42562435204125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37833275758 (or 37833275745 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 42562435204125 in words is "forty-two trillion, five hundred sixty-two billion, four hundred thirty-five million, two hundred four thousand, one hundred twenty-five".