355603505625 has 45 divisors (see below), whose sum is σ = 641937162009. Its totient is φ = 189631350000.

The previous prime is 355603505611. The next prime is 355603505629. The reversal of 355603505625 is 526505306553.

It is a happy number.

The square root of 355603505625 is 596325.

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

355603505625 is a `hidden beast` number, since 3 + 5 + 56 + 0 + 35 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27879314841 + 327724190784 = 166971^2 + 572472^2 .

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

It is not a de Polignac number, because 355603505625 - 2¹³ = 355603497433 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (355603505629) 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, 44720400 + ... + 44728350.

Almost surely, 2^355603505625 is an apocalyptic number.

355603505625 is the 596325-th square number.

355603505625 is the 298163-rd centered octagonal number.

It is an amenable number.

355603505625 is a deficient number, since it is larger than the sum of its proper divisors (286333656384).

355603505625 is an frugal number, since it uses more digits than its factorization.

355603505625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 355603505625 in words is "three hundred fifty-five billion, six hundred three million, five hundred five thousand, six hundred twenty-five".