125552025 has 63 divisors (see below), whose sum is σ = 236266159. Its totient is φ = 66154320.

The previous prime is 125552023. The next prime is 125552027. The reversal of 125552025 is 520255521.

The square root of 125552025 is 11205.

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

It is an interprime number because it is at equal distance from previous prime (125552023) and next prime (125552027).

It can be written as a sum of positive squares in only one way, i.e., 45198729 + 80353296 = 6723^2 + 8964^2 .

It is not a de Polignac number, because 125552025 - 2¹ = 125552023 is a prime.

It is a super-3 number, since 3×125552025³ (a number of 25 digits) contains 333 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 125552025.

It is not an unprimeable number, because it can be changed into a prime (125552023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1512634 + ... + 1512716.

Almost surely, 2^125552025 is an apocalyptic number.

125552025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125552025 is the 11205-th square number.

125552025 is the 5603-rd centered octagonal number.

It is an amenable number.

125552025 is a deficient number, since it is larger than the sum of its proper divisors (110714134).

125552025 is an frugal number, since it uses more digits than its factorization.

125552025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 91 counting only the distinct ones).

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

The cubic root of 125552025 is about 500.7349524937.

The spelling of 125552025 in words is "one hundred twenty-five million, five hundred fifty-two thousand, twenty-five".