259715400252 has 144 divisors (see below), whose sum is σ = 789814808832. Its totient is φ = 64525443840.

The previous prime is 259715400239. The next prime is 259715400277. The reversal of 259715400252 is 252004517952.

259715400252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223128 + ... + 754464.

Almost surely, 2^259715400252 is an apocalyptic number.

259715400252 is a gapful number since it is divisible by the number (22) 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 259715400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394907404416).

259715400252 is an abundant number, since it is smaller than the sum of its proper divisors (530099408580).

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

259715400252 is a wasteful number, since it uses less digits than its factorization.

259715400252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531408 (or 531383 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 259715400252 in words is "two hundred fifty-nine billion, seven hundred fifteen million, four hundred thousand, two hundred fifty-two".