4005822117025 has 9 divisors (see below), whose sum is σ = 4967231834163. Its totient is φ = 3204649687800.

The previous prime is 4005822116993. The next prime is 4005822117061. The reversal of 4005822117025 is 5207112285004.

It is a happy number.

The square root of 4005822117025 is 2001455.

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

4005822117025 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., 1442095962129 + 2563726154896 = 1200873^2 + 1601164^2 .

It is not a de Polignac number, because 4005822117025 - 2⁵ = 4005822116993 is a prime.

It is a super-2 number, since 2×4005822117025² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9807130 + ... + 10207420.

Almost surely, 2^{4005822117025} is an apocalyptic number.

4005822117025 is the 2001455-th square number.

4005822117025 is the 1000728-th centered octagonal number.

It is an amenable number.

4005822117025 is a deficient number, since it is larger than the sum of its proper divisors (961409717138).

4005822117025 is an frugal number, since it uses more digits than its factorization.

4005822117025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800592 (or 400296 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 4005822117025 in words is "four trillion, five billion, eight hundred twenty-two million, one hundred seventeen thousand, twenty-five".