2017663998025 has 75 divisors (see below), whose sum is σ = 2778147680255. Its totient is φ = 1453626595200.

The previous prime is 2017663998023. The next prime is 2017663998079. The reversal of 2017663998025 is 5208993667102.

The square root of 2017663998025 is 1420445.

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

It can be written as a sum of positive squares in 37 ways, for example, as 1835816335929 + 181847662096 = 1354923^2 + 426436^2 .

It is not a de Polignac number, because 2017663998025 - 2¹ = 2017663998023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2017663998023) 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 74 ways as a sum of consecutive naturals, for example, 49211317005 + ... + 49211317045.

Almost surely, 2^{2017663998025} is an apocalyptic number.

2017663998025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2017663998025 is the 1420445-th square number.

2017663998025 is the 710223-rd centered octagonal number.

It is an amenable number.

2017663998025 is a deficient number, since it is larger than the sum of its proper divisors (760483682230).

2017663998025 is an frugal number, since it uses more digits than its factorization.

2017663998025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 2017663998025 in words is "two trillion, seventeen billion, six hundred sixty-three million, nine hundred ninety-eight thousand, twenty-five".