3461553275625 has 75 divisors (see below), whose sum is σ = 6462416014131. Its totient is φ = 1845938484000.

The previous prime is 3461553275599. The next prime is 3461553275627. The reversal of 3461553275625 is 5265723551643.

The square root of 3461553275625 is 1860525.

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

3461553275625 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 5 + 5 + 3 + 2 + 7 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1010211938649 + 2451341336976 = 1005093^2 + 1565676^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 3461553275625 - 2¹⁵ = 3461553242857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3461553275627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 418613991 + ... + 418622259.

Almost surely, 2^{3461553275625} is an apocalyptic number.

3461553275625 is the 1860525-th square number.

3461553275625 is the 930263-rd centered octagonal number.

It is an amenable number.

3461553275625 is a deficient number, since it is larger than the sum of its proper divisors (3000862738506).

3461553275625 is an frugal number, since it uses more digits than its factorization.

3461553275625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16570 (or 8277 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 54.

The spelling of 3461553275625 in words is "three trillion, four hundred sixty-one billion, five hundred fifty-three million, two hundred seventy-five thousand, six hundred twenty-five".