680451761025 has 135 divisors (see below), whose sum is σ = 1319271228121. Its totient is φ = 346693469760.

The previous prime is 680451760999. The next prime is 680451761053. The reversal of 680451761025 is 520167154086.

The square root of 680451761025 is 824895.

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

680451761025 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 5 + 1 + 7 + 610 + 25 = 666.

680451761025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16630939521 + 663820821504 = 128961^2 + 814752^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 680451761025 - 2⁵ = 680451760993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 853765927 + ... + 853766723.

Almost surely, 2^680451761025 is an apocalyptic number.

680451761025 is the 824895-th square number.

680451761025 is the 412448-th centered octagonal number.

It is an amenable number.

680451761025 is a deficient number, since it is larger than the sum of its proper divisors (638819467096).

680451761025 is an frugal number, since it uses more digits than its factorization.

680451761025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 680451761025 in words is "six hundred eighty billion, four hundred fifty-one million, seven hundred sixty-one thousand, twenty-five".