261848025 has 96 divisors (see below), whose sum is σ = 536572800. Its totient is φ = 124416000.

The previous prime is 261848021. The next prime is 261848033. The reversal of 261848025 is 520848162.

It is not a de Polignac number, because 261848025 - 2² = 261848021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261848021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217425 + ... + 218625.

It is an arithmetic number, because the mean of its divisors is an integer number (5589300).

Almost surely, 2^261848025 is an apocalyptic number.

261848025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261848025 is an abundant number, since it is smaller than the sum of its proper divisors (274724775).

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

261848025 is a wasteful number, since it uses less digits than its factorization.

261848025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 261848025 is about 16181.7188518402. The cubic root of 261848025 is about 639.7590442215.

The spelling of 261848025 in words is "two hundred sixty-one million, eight hundred forty-eight thousand, twenty-five".