42121625 has 72 divisors (see below), whose sum is σ = 68841864. Its totient is φ = 25502400.

The previous prime is 42121621. The next prime is 42121643. The reversal of 42121625 is 52612124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6635776 + 35485849 = 2576^2 + 5957^2 .

It is not a de Polignac number, because 42121625 - 2² = 42121621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

Its product of digits (960) is a multiple of the sum of its prime divisors (48).

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 42121625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121621) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1831364 + ... + 1831386.

It is an arithmetic number, because the mean of its divisors is an integer number (956137).

Almost surely, 2^42121625 is an apocalyptic number.

It is an amenable number.

42121625 is a deficient number, since it is larger than the sum of its proper divisors (26720239).

42121625 is a wasteful number, since it uses less digits than its factorization.

42121625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 42121625 is about 6490.1174873803. The cubic root of 42121625 is about 347.9378742536.

Adding to 42121625 its reverse (52612124), we get a palindrome (94733749).

The spelling of 42121625 in words is "forty-two million, one hundred twenty-one thousand, six hundred twenty-five".