259052560 has 40 divisors (see below), whose sum is σ = 648630360. Its totient is φ = 95649792.

The previous prime is 259052557. The next prime is 259052609. The reversal of 259052560 is 65250952.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 251032336 = 2832^2 + 15844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123505 + ... + 125584.

It is an arithmetic number, because the mean of its divisors is an integer number (16215759).

Almost surely, 2^259052560 is an apocalyptic number.

259052560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259052560 is an abundant number, since it is smaller than the sum of its proper divisors (389577800).

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

259052560 is a wasteful number, since it uses less digits than its factorization.

259052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249115 (or 249109 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 259052560 is about 16095.1098163386. The cubic root of 259052560 is about 637.4742247685.

The spelling of 259052560 in words is "two hundred fifty-nine million, fifty-two thousand, five hundred sixty".