35506880325225 has 81 divisors (see below), whose sum is σ = 66043930897893. Its totient is φ = 18935715746880.

The previous prime is 35506880325223. The next prime is 35506880325239. The reversal of 35506880325225 is 52252308860553.

The square root of 35506880325225 is 5958765.

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

35506880325225 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 6 + 8 + 80 + 32 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 424430099289 + 35082450225936 = 651483^2 + 5923044^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 35506880325225 - 2¹ = 35506880325223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35506880325223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2413292469 + ... + 2413307181.

Almost surely, 2^{35506880325225} is an apocalyptic number.

35506880325225 is the 5958765-th square number.

35506880325225 is the 2979383-rd centered octagonal number.

It is an amenable number.

35506880325225 is a deficient number, since it is larger than the sum of its proper divisors (30537050572668).

35506880325225 is an frugal number, since it uses more digits than its factorization.

35506880325225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29460 (or 14721 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 35506880325225 in words is "thirty-five trillion, five hundred six billion, eight hundred eighty million, three hundred twenty-five thousand, two hundred twenty-five".