286349515078225 has 27 divisors (see below), whose sum is σ = 355718012439699. Its totient is φ = 228664484870400.

The previous prime is 286349515078219. The next prime is 286349515078229. The reversal of 286349515078225 is 522870515943682.

The square root of 286349515078225 is 16921865.

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

It can be written as a sum of positive squares in 13 ways, for example, as 259542636046929 + 26806879031296 = 16110327^2 + 5177536^2 .

It is not a de Polignac number, because 286349515078225 - 2³ = 286349515078217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (286349515078229) 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, 51865513465 + ... + 51865518985.

It is a 1-persistent number, because it is pandigital, but 2⋅286349515078225 = 572699030156450 is not.

Almost surely, 2^{286349515078225} is an apocalyptic number.

286349515078225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

286349515078225 is the 16921865-th square number.

286349515078225 is the 8460933-rd centered octagonal number.

It is an amenable number.

286349515078225 is a deficient number, since it is larger than the sum of its proper divisors (69368497361474).

286349515078225 is an frugal number, since it uses more digits than its factorization.

286349515078225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 67.

The spelling of 286349515078225 in words is "two hundred eighty-six trillion, three hundred forty-nine billion, five hundred fifteen million, seventy-eight thousand, two hundred twenty-five".