255200625 has 75 divisors (see below), whose sum is σ = 483183613. Its totient is φ = 134190000.

The previous prime is 255200623. The next prime is 255200633. The reversal of 255200625 is 526002552.

255200625 = 301² + 302² + ... + 925².

The square root of 255200625 is 15975.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 20007729 + 235192896 = 4473^2 + 15336^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 255200625 - 2¹ = 255200623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (255200623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3594340 + ... + 3594410.

Almost surely, 2^255200625 is an apocalyptic number.

255200625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

255200625 is the 15975-th square number.

255200625 is the 7988-th centered octagonal number.

It is an amenable number.

255200625 is a deficient number, since it is larger than the sum of its proper divisors (227982988).

255200625 is an frugal number, since it uses more digits than its factorization.

255200625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The cubic root of 255200625 is about 634.2988313185.

The spelling of 255200625 in words is "two hundred fifty-five million, two hundred thousand, six hundred twenty-five".