42834511225 has 81 divisors (see below), whose sum is σ = 60354613837. Its totient is φ = 30134104000.

The previous prime is 42834511211. The next prime is 42834511231. The reversal of 42834511225 is 52211543824.

The square root of 42834511225 is 206965.

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 322669369 + 42511841856 = 17963^2 + 206184^2 .

It is not a de Polignac number, because 42834511225 - 2²³ = 42826122617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 603302940 + ... + 603303010.

Almost surely, 2^42834511225 is an apocalyptic number.

42834511225 is the 206965-th square number.

42834511225 is the 103483-rd centered octagonal number.

It is an amenable number.

42834511225 is a deficient number, since it is larger than the sum of its proper divisors (17520102612).

42834511225 is an equidigital number, since it uses as much as digits as its factorization.

42834511225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The spelling of 42834511225 in words is "forty-two billion, eight hundred thirty-four million, five hundred eleven thousand, two hundred twenty-five".