42561753025 has 63 divisors (see below), whose sum is σ = 59987355411. Its totient is φ = 29955486000.

The previous prime is 42561753019. The next prime is 42561753029. The reversal of 42561753025 is 52035716524.

The square root of 42561753025 is 206305.

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

42561753025 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 only one way, i.e., 15322231089 + 27239521936 = 123783^2 + 165044^2 .

It is a de Polignac number, because none of the positive numbers 2^k-42561753025 is a prime.

It is a super-2 number, since 2×42561753025² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42561753029) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1372959760 + ... + 1372959790.

Almost surely, 2^42561753025 is an apocalyptic number.

42561753025 is the 206305-th square number.

42561753025 is the 103153-rd centered octagonal number.

It is an amenable number.

42561753025 is a deficient number, since it is larger than the sum of its proper divisors (17425602386).

42561753025 is an frugal number, since it uses more digits than its factorization.

42561753025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 42561753025 in words is "forty-two billion, five hundred sixty-one million, seven hundred fifty-three thousand, twenty-five".