1688765225625 has 45 divisors (see below), whose sum is σ = 3048359635321. Its totient is φ = 900622806000.

The previous prime is 1688765225597. The next prime is 1688765225629. The reversal of 1688765225625 is 5265225678861.

The square root of 1688765225625 is 1299525.

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

1688765225625 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 7 + 65 + 2 + 2 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132399193689 + 1556366031936 = 363867^2 + 1247544^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1688765225625 - 2¹⁵ = 1688765192857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1688765225629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97455712 + ... + 97473038.

Almost surely, 2^{1688765225625} is an apocalyptic number.

1688765225625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1688765225625 is the 1299525-th square number.

1688765225625 is the 649763-rd centered octagonal number.

It is an amenable number.

1688765225625 is a deficient number, since it is larger than the sum of its proper divisors (1359594409696).

1688765225625 is an frugal number, since it uses more digits than its factorization.

1688765225625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34680 (or 17335 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 1688765225625 in words is "one trillion, six hundred eighty-eight billion, seven hundred sixty-five million, two hundred twenty-five thousand, six hundred twenty-five".