69735605625 has 135 divisors (see below), whose sum is σ = 146713296873. Its totient is φ = 31815756000.

The previous prime is 69735605581. The next prime is 69735605629. The reversal of 69735605625 is 52650653796.

It is a happy number.

The square root of 69735605625 is 264075.

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

69735605625 is a `hidden beast` number, since 6 + 9 + 7 + 3 + 5 + 6 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5467271481 + 64268334144 = 73941^2 + 253512^2 .

It is not a de Polignac number, because 69735605625 - 2²⁵ = 69702051193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (69735605629) 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 134 ways as a sum of consecutive naturals, for example, 138639124 + ... + 138639626.

Almost surely, 2^69735605625 is an apocalyptic number.

69735605625 is the 264075-th square number.

69735605625 is the 132038-th centered octagonal number.

It is an amenable number.

69735605625 is an abundant number, since it is smaller than the sum of its proper divisors (76977691248).

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

69735605625 is an frugal number, since it uses more digits than its factorization.

69735605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 69735605625 in words is "sixty-nine billion, seven hundred thirty-five million, six hundred five thousand, six hundred twenty-five".