1641465225 has 81 divisors (see below), whose sum is σ = 3063614463. Its totient is φ = 840119040.

The previous prime is 1641465223. The next prime is 1641465229. The reversal of 1641465225 is 5225641461.

The square root of 1641465225 is 40515.

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

1641465225 is a `hidden beast` number, since 1 + 641 + 4 + 6 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 254051721 + 1387413504 = 15939^2 + 37248^2 .

It is not a de Polignac number, because 1641465225 - 2¹ = 1641465223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1641465225.

It is not an unprimeable number, because it can be changed into a prime (1641465223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22485789 + ... + 22485861.

Almost surely, 2^1641465225 is an apocalyptic number.

1641465225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1641465225 is the 40515-th square number.

1641465225 is the 20258-th centered octagonal number.

It is an amenable number.

1641465225 is a deficient number, since it is larger than the sum of its proper divisors (1422149238).

1641465225 is an equidigital number, since it uses as much as digits as its factorization.

1641465225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The cubic root of 1641465225 is about 1179.6248029103.

Multiplying 1641465225 by its sum of digits (36), we get a square (59092748100 = 243090²).

Multiplying 1641465225 by its product of digits (57600), we get a square (94548396960000 = 9723600²).

The spelling of 1641465225 in words is "one billion, six hundred forty-one million, four hundred sixty-five thousand, two hundred twenty-five".