755975025 has 135 divisors (see below), whose sum is σ = 1549279281. Its totient is φ = 364253760.

The previous prime is 755974979. The next prime is 755975027. The reversal of 755975025 is 520579557.

755975025 = 1³ + 2³ + ... + 234³.

The square root of 755975025 is 27495.

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

755975025 is a `hidden beast` number, since 7 + 5 + 597 + 50 + 2 + 5 = 666.

755975025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 194853681 + 561121344 = 13959^2 + 23688^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 755975025 - 2¹³ = 755966833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (755975027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16084552 + ... + 16084598.

Almost surely, 2^755975025 is an apocalyptic number.

755975025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

755975025 is the 27495-th square number.

755975025 is the 13748-th centered octagonal number.

It is an amenable number.

755975025 is an abundant number, since it is smaller than the sum of its proper divisors (793304256).

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

755975025 is a wasteful number, since it uses less digits than its factorization.

755975025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The cubic root of 755975025 is about 910.9666598637.

The spelling of 755975025 in words is "seven hundred fifty-five million, nine hundred seventy-five thousand, twenty-five".