688275225 has 135 divisors (see below), whose sum is σ = 1428302029. Its totient is φ = 327412800.

The previous prime is 688275199. The next prime is 688275229. The reversal of 688275225 is 522572886.

The square root of 688275225 is 26235.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5184729 + 683090496 = 2277^2 + 26136^2 .

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

It is not a de Polignac number, because 688275225 - 2¹³ = 688267033 is a prime.

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

Its product of digits (537600) is a multiple of the sum of its prime factors (150).

It is not an unprimeable number, because it can be changed into a prime (688275229) 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, 12986299 + ... + 12986351.

Almost surely, 2^688275225 is an apocalyptic number.

688275225 is the 26235-th square number.

688275225 is the 13118-th centered octagonal number.

It is an amenable number.

688275225 is an abundant number, since it is smaller than the sum of its proper divisors (740026804).

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

688275225 is a wasteful number, since it uses less digits than its factorization.

688275225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 72 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The cubic root of 688275225 is about 882.9186942867.

The spelling of 688275225 in words is "six hundred eighty-eight million, two hundred seventy-five thousand, two hundred twenty-five".