255152520 has 288 divisors, whose sum is σ = 1011441600. Its totient is φ = 54494208.

The previous prime is 255152509. The next prime is 255152533. The reversal of 255152520 is 25251552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3495204 + ... + 3495276.

It is an arithmetic number, because the mean of its divisors is an integer number (3511950).

Almost surely, 2^255152520 is an apocalyptic number.

255152520 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 255152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505720800).

255152520 is an abundant number, since it is smaller than the sum of its proper divisors (756289080).

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

255152520 is a wasteful number, since it uses less digits than its factorization.

255152520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 255152520 is about 15973.4942952380. The cubic root of 255152520 is about 634.2589739675.

The spelling of 255152520 in words is "two hundred fifty-five million, one hundred fifty-two thousand, five hundred twenty".