35768265625 has 63 divisors (see below), whose sum is σ = 48034092187. Its totient is φ = 26628800000.

The previous prime is 35768265553. The next prime is 35768265683. The reversal of 35768265625 is 52656286753.

It is a happy number.

The square root of 35768265625 is 189125.

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

It can be written as a sum of positive squares in 31 ways, for example, as 3611168649 + 32157096976 = 60093^2 + 179324^2 .

It is not a de Polignac number, because 35768265625 - 2⁷ = 35768265497 is a prime.

It is a Duffinian number.

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 62 ways as a sum of consecutive naturals, for example, 401890581 + ... + 401890669.

Almost surely, 2^35768265625 is an apocalyptic number.

35768265625 is the 189125-th square number.

35768265625 is the 94563-rd centered octagonal number.

It is an amenable number.

35768265625 is a deficient number, since it is larger than the sum of its proper divisors (12265826562).

35768265625 is an frugal number, since it uses more digits than its factorization.

35768265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 111 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 55.

The spelling of 35768265625 in words is "thirty-five billion, seven hundred sixty-eight million, two hundred sixty-five thousand, six hundred twenty-five".