8492000225 has 24 divisors (see below), whose sum is σ = 11155770360. Its totient is φ = 6390379520.

The previous prime is 8492000189. The next prime is 8492000261. The reversal of 8492000225 is 5220002948.

It is an interprime number because it is at equal distance from previous prime (8492000189) and next prime (8492000261).

It can be written as a sum of positive squares in 12 ways, for example, as 917605264 + 7574394961 = 30292^2 + 87031^2 .

It is not a de Polignac number, because 8492000225 - 2³⁰ = 7418258401 is a prime.

It is a super-2 number, since 2×8492000225² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8492000191 and 8492000200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936011 + ... + 945039.

It is an arithmetic number, because the mean of its divisors is an integer number (464823765).

Almost surely, 2^8492000225 is an apocalyptic number.

8492000225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8492000225 is the 75242-nd pentagonal number.

It is an amenable number.

8492000225 is a deficient number, since it is larger than the sum of its proper divisors (2663770135).

8492000225 is a wasteful number, since it uses less digits than its factorization.

8492000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11269 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 8492000225 is about 92152.0494888746. The cubic root of 8492000225 is about 2040.1871083826.

The spelling of 8492000225 in words is "eight billion, four hundred ninety-two million, two hundred twenty-five", and thus it is an aban number.