259535540 has 96 divisors (see below), whose sum is σ = 612057600. Its totient is φ = 91653120.

The previous prime is 259535539. The next prime is 259535543. The reversal of 259535540 is 45535952.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 259535494 and 259535503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259535543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1894352 + ... + 1894488.

It is an arithmetic number, because the mean of its divisors is an integer number (6375600).

Almost surely, 2^259535540 is an apocalyptic number.

259535540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306028800).

259535540 is an abundant number, since it is smaller than the sum of its proper divisors (352522060).

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

259535540 is a wasteful number, since it uses less digits than its factorization.

259535540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

The square root of 259535540 is about 16110.1067656301. The cubic root of 259535540 is about 637.8701497709.

The spelling of 259535540 in words is "two hundred fifty-nine million, five hundred thirty-five thousand, five hundred forty".