42526275961 has 27 divisors (see below), whose sum is σ = 47779167501. Its totient is φ = 37832112864.

The previous prime is 42526275949. The next prime is 42526275977. The reversal of 42526275961 is 16957262524.

The square root of 42526275961 is 206219.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5453084025 + 37073191936 = 73845^2 + 192544^2 .

It is not a de Polignac number, because 42526275961 - 2²³ = 42517887353 is a prime.

It is a super-2 number, since 2×42526275961² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42526275941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77744290 + ... + 77744836.

Almost surely, 2^42526275961 is an apocalyptic number.

42526275961 is the 206219-th square number.

42526275961 is the 103110-th centered octagonal number.

It is an amenable number.

42526275961 is a deficient number, since it is larger than the sum of its proper divisors (5252891540).

42526275961 is an frugal number, since it uses more digits than its factorization.

42526275961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 589 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

Multiplying 42526275961 by its sum of digits (49), we get a square (2083787522089 = 1443533²).

The spelling of 42526275961 in words is "forty-two billion, five hundred twenty-six million, two hundred seventy-five thousand, nine hundred sixty-one".