1685513025 has 243 divisors, whose sum is σ = 3899809641. Its totient is φ = 693665280.

The previous prime is 1685512963. The next prime is 1685513033. The reversal of 1685513025 is 5203155861.

It is a happy number.

The square root of 1685513025 is 41055.

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 39425841 + 1646087184 = 6279^2 + 40572^2 .

It is not a de Polignac number, because 1685513025 - 2⁷ = 1685512897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 73283164 + ... + 73283186.

Almost surely, 2^1685513025 is an apocalyptic number.

1685513025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1685513025 is the 41055-th square number.

1685513025 is the 20528-th centered octagonal number.

It is an amenable number.

1685513025 is an abundant number, since it is smaller than the sum of its proper divisors (2214296616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1685513025 is a wasteful number, since it uses less digits than its factorization.

1685513025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The cubic root of 1685513025 is about 1190.0833274983.

Multiplying 1685513025 by its sum of digits (36), we get a square (60678468900 = 246330²).

Adding to 1685513025 its reverse (5203155861), we get a palindrome (6888668886).

The spelling of 1685513025 in words is "one billion, six hundred eighty-five million, five hundred thirteen thousand, twenty-five".