2028160498225 has 27 divisors (see below), whose sum is σ = 2578125704641. Its totient is φ = 1582726673600.

The previous prime is 2028160498153. The next prime is 2028160498229. The reversal of 2028160498225 is 5228940618202.

The square root of 2028160498225 is 1424135.

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 853685450401 + 1174475047824 = 923951^2 + 1083732^2 .

It is not a de Polignac number, because 2028160498225 - 2⁷ = 2028160498097 is a prime.

It is a super-2 number, since 2×2028160498225² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2028160498229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 291944202 + ... + 291951148.

Almost surely, 2^{2028160498225} is an apocalyptic number.

2028160498225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2028160498225 is the 1424135-th square number.

2028160498225 is the 712068-th centered octagonal number.

It is an amenable number.

2028160498225 is a deficient number, since it is larger than the sum of its proper divisors (549965206416).

2028160498225 is an frugal number, since it uses more digits than its factorization.

2028160498225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13986 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 2028160498225 by its sum of digits (49), we get a square (99379864413025 = 9968945²).

The spelling of 2028160498225 in words is "two trillion, twenty-eight billion, one hundred sixty million, four hundred ninety-eight thousand, two hundred twenty-five".