35500212225 has 135 divisors (see below), whose sum is σ = 67881933273. Its totient is φ = 18341069760.

The previous prime is 35500212191. The next prime is 35500212227. The reversal of 35500212225 is 52221200553.

The square root of 35500212225 is 188415.

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

35500212225 is a `hidden beast` number, since 35 + 500 + 2 + 122 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 267420609 + 35232791616 = 16353^2 + 187704^2 .

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

It is not a de Polignac number, because 35500212225 - 2²⁷ = 35365994497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (35500212227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 449369736 + ... + 449369814.

Almost surely, 2^35500212225 is an apocalyptic number.

35500212225 is the 188415-th square number.

35500212225 is the 94208-th centered octagonal number.

It is an amenable number.

35500212225 is a deficient number, since it is larger than the sum of its proper divisors (32381721048).

35500212225 is an frugal number, since it uses more digits than its factorization.

35500212225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 35500212225 its reverse (52221200553), we get a palindrome (87721412778).

The spelling of 35500212225 in words is "thirty-five billion, five hundred million, two hundred twelve thousand, two hundred twenty-five".