255525120 has 216 divisors, whose sum is σ = 907327512. Its totient is φ = 66355200.

The previous prime is 255525107. The next prime is 255525131. The reversal of 255525120 is 21525552.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 255488256 = 192^2 + 15984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472050 + ... + 472590.

Almost surely, 2^255525120 is an apocalyptic number.

255525120 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 255525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453663756).

255525120 is an abundant number, since it is smaller than the sum of its proper divisors (651802392).

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

255525120 is a wasteful number, since it uses less digits than its factorization.

255525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

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

The square root of 255525120 is about 15985.1531115595. The cubic root of 255525120 is about 634.5675605750.

The spelling of 255525120 in words is "two hundred fifty-five million, five hundred twenty-five thousand, one hundred twenty".