284937102025 has 9 divisors (see below), whose sum is σ = 353325316071. Its totient is φ = 227947546440.

The previous prime is 284937102011. The next prime is 284937102031. The reversal of 284937102025 is 520201739482.

The square root of 284937102025 is 533795.

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

It can be written as a sum of positive squares in only one way, i.e., 102577356729 + 182359745296 = 320277^2 + 427036^2 .

It is not a de Polignac number, because 284937102025 - 2¹⁵ = 284937069257 is a prime.

It is a super-2 number, since 2×284937102025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2615596 + ... + 2722354.

Almost surely, 2^284937102025 is an apocalyptic number.

284937102025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284937102025 is the 533795-th square number.

284937102025 is the 266898-th centered octagonal number.

It is an amenable number.

284937102025 is a deficient number, since it is larger than the sum of its proper divisors (68388214046).

284937102025 is an frugal number, since it uses more digits than its factorization.

284937102025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213528 (or 106764 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 284937102025 in words is "two hundred eighty-four billion, nine hundred thirty-seven million, one hundred two thousand, twenty-five".