42351125652 has 72 divisors (see below), whose sum is σ = 117133353792. Its totient is φ = 12795552000.

The previous prime is 42351125627. The next prime is 42351125653. The reversal of 42351125652 is 25652115324.

42351125652 is a `hidden beast` number, since 4 + 2 + 351 + 1 + 256 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42351125653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25224 + ... + 292127.

It is an arithmetic number, because the mean of its divisors is an integer number (1626852136).

Almost surely, 2^42351125652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42351125652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58566676896).

42351125652 is an abundant number, since it is smaller than the sum of its proper divisors (74782228140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42351125652 is a wasteful number, since it uses less digits than its factorization.

42351125652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317709 (or 317704 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 42351125652 in words is "forty-two billion, three hundred fifty-one million, one hundred twenty-five thousand, six hundred fifty-two".