42706289025 has 81 divisors (see below), whose sum is σ = 80095747459. Its totient is φ = 21750025440.

The previous prime is 42706288997. The next prime is 42706289029. The reversal of 42706289025 is 52098260724.

The square root of 42706289025 is 206655.

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

It can be written as a sum of positive squares in only one way, i.e., 15374264049 + 27332024976 = 123993^2 + 165324^2 .

It is not a de Polignac number, because 42706289025 - 2¹³ = 42706280833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42706289029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71295676 + ... + 71296274.

Almost surely, 2^42706289025 is an apocalyptic number.

42706289025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42706289025 is the 206655-th square number.

42706289025 is the 103328-th centered octagonal number.

It is an amenable number.

42706289025 is a deficient number, since it is larger than the sum of its proper divisors (37389458434).

42706289025 is an equidigital number, since it uses as much as digits as its factorization.

42706289025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42706289025 in words is "forty-two billion, seven hundred six million, two hundred eighty-nine thousand, twenty-five".