42508130625 has 45 divisors (see below), whose sum is σ = 76754151903. Its totient is φ = 22662756000.

The previous prime is 42508130597. The next prime is 42508130629. The reversal of 42508130625 is 52603180524.

The square root of 42508130625 is 206175.

It is a perfect power (a square), and thus also a powerful number.

42508130625 is a `hidden beast` number, since 4 + 25 + 0 + 8 + 1 + 3 + 0 + 625 = 666.

42508130625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 42307964721 + 200165904 = 205689^2 + 14148^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 42508130625 - 2⁹ = 42508130113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42508130625.

It is not an unprimeable number, because it can be changed into a prime (42508130629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15461751 + ... + 15464499.

Almost surely, 2^42508130625 is an apocalyptic number.

42508130625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42508130625 is the 206175-th square number.

42508130625 is the 103088-th centered octagonal number.

It is an amenable number.

42508130625 is a deficient number, since it is larger than the sum of its proper divisors (34246021278).

42508130625 is an frugal number, since it uses more digits than its factorization.

42508130625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 42508130625 by its sum of digits (36), we get a square (1530292702500 = 1237050²).

The spelling of 42508130625 in words is "forty-two billion, five hundred eight million, one hundred thirty thousand, six hundred twenty-five".