9959042025 has 27 divisors (see below), whose sum is σ = 17840432389. Its totient is φ = 5310690720.

The previous prime is 9959041993. The next prime is 9959042029. The reversal of 9959042025 is 5202409599.

The square root of 9959042025 is 99795.

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 4837063401 + 5121978624 = 69549^2 + 71568^2 .

It is not a de Polignac number, because 9959042025 - 2⁵ = 9959041993 is a prime.

It is a super-2 number, since 2×9959042025² (a number of 21 digits) contains 22 as substring.

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 (9959042029) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1493599 + ... + 1500251.

Almost surely, 2^9959042025 is an apocalyptic number.

9959042025 is the 99795-th square number.

9959042025 is the 49898-th centered octagonal number.

It is an amenable number.

9959042025 is a deficient number, since it is larger than the sum of its proper divisors (7881390364).

9959042025 is an frugal number, since it uses more digits than its factorization.

9959042025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13322 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The cubic root of 9959042025 is about 2151.4892890365.

The spelling of 9959042025 in words is "nine billion, nine hundred fifty-nine million, forty-two thousand, twenty-five".