42572481561 has 9 divisors (see below), whose sum is σ = 61494478591. Its totient is φ = 28381241712.

The previous prime is 42572481559. The next prime is 42572481583. The reversal of 42572481561 is 16518427524.

The square root of 42572481561 is 206331.

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

42572481561 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 2 + 4 + 81 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29472305625 + 13100175936 = 171675^2 + 114456^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 42572481561 - 2¹ = 42572481559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42572481361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 584605 + ... + 653381.

Almost surely, 2^42572481561 is an apocalyptic number.

42572481561 is the 206331-st square number.

42572481561 is the 103166-th centered octagonal number.

It is an amenable number.

42572481561 is a deficient number, since it is larger than the sum of its proper divisors (18921997030).

42572481561 is an frugal number, since it uses more digits than its factorization.

42572481561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137560 (or 68780 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 42572481561 in words is "forty-two billion, five hundred seventy-two million, four hundred eighty-one thousand, five hundred sixty-one".