282525203961 has 405 divisors, whose sum is σ = 594413799903. Its totient is φ = 133180407360.

The previous prime is 282525203921. The next prime is 282525204007. The reversal of 282525203961 is 169302525282.

The square root of 282525203961 is 531531.

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

282525203961 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 252 + 0 + 396 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41793669225 + 240731534736 = 204435^2 + 490644^2 .

It is not a de Polignac number, because 282525203961 - 2¹³ = 282525195769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (282525203921) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 4788562750 + ... + 4788562808.

Almost surely, 2^282525203961 is an apocalyptic number.

282525203961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

282525203961 is the 531531-st square number.

282525203961 is the 265766-th centered octagonal number.

It is an amenable number.

282525203961 is an abundant number, since it is smaller than the sum of its proper divisors (311888595942).

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

282525203961 is a wasteful number, since it uses less digits than its factorization.

282525203961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 282525203961 in words is "two hundred eighty-two billion, five hundred twenty-five million, two hundred three thousand, nine hundred sixty-one".