284809005625 has 15 divisors (see below), whose sum is σ = 355914006217. Its totient is φ = 227836531000.

The previous prime is 284809005617. The next prime is 284809005629. The reversal of 284809005625 is 526500908482.

It is a happy number.

The square root of 284809005625 is 533675.

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

It can be written as a sum of positive squares in 2 ways, for example, as 22329026041 + 262479979584 = 149429^2 + 512328^2 .

It is not a de Polignac number, because 284809005625 - 2³ = 284809005617 is a prime.

It is a super-2 number, since 2×284809005625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284809005629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13331202 + ... + 13352548.

Almost surely, 2^284809005625 is an apocalyptic number.

284809005625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284809005625 is the 533675-th square number.

284809005625 is the 266838-th centered octagonal number.

It is an amenable number.

284809005625 is a deficient number, since it is larger than the sum of its proper divisors (71105000592).

284809005625 is an frugal number, since it uses more digits than its factorization.

284809005625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42714 (or 21352 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 284809005625 by its sum of digits (49), we get a square (13955641275625 = 3735725²).

The spelling of 284809005625 in words is "two hundred eighty-four billion, eight hundred nine million, five thousand, six hundred twenty-five".