675116939025 has 225 divisors, whose sum is σ = 1363826858955. Its totient is φ = 330108112800.

The previous prime is 675116939011. The next prime is 675116939051. The reversal of 675116939025 is 520939611576.

The square root of 675116939025 is 821655.

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

675116939025 is a `hidden beast` number, since 6 + 75 + 1 + 169 + 390 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243042098049 + 432074840976 = 492993^2 + 657324^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 675116939025 - 2¹⁵ = 675116906257 is a prime.

It is a super-3 number, since 3×675116939025³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 21777965760 + ... + 21777965790.

Almost surely, 2^675116939025 is an apocalyptic number.

675116939025 is the 821655-th square number.

675116939025 is the 410828-th centered octagonal number.

It is an amenable number.

675116939025 is an abundant number, since it is smaller than the sum of its proper divisors (688709919930).

675116939025 is an frugal number, since it uses more digits than its factorization.

675116939025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 675116939025 in words is "six hundred seventy-five billion, one hundred sixteen million, nine hundred thirty-nine thousand, twenty-five".