35828185492225 has 81 divisors (see below), whose sum is σ = 54549566148681. Its totient is φ = 23272265520000.

The previous prime is 35828185492223. The next prime is 35828185492243. The reversal of 35828185492225 is 52229458182853.

The square root of 35828185492225 is 5985665.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7982427451761 + 27845758040464 = 2825319^2 + 5276908^2 .

It is not a de Polignac number, because 35828185492225 - 2¹ = 35828185492223 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (35828185492223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3980462725 + ... + 3980471725.

Almost surely, 2^{35828185492225} is an apocalyptic number.

35828185492225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35828185492225 is the 5985665-th square number.

35828185492225 is the 2992833-rd centered octagonal number.

It is an amenable number.

35828185492225 is a deficient number, since it is larger than the sum of its proper divisors (18721380656456).

35828185492225 is an frugal number, since it uses more digits than its factorization.

35828185492225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18064 (or 9032 counting only the distinct ones).

The product of its digits is 110592000, while the sum is 64.

The spelling of 35828185492225 in words is "thirty-five trillion, eight hundred twenty-eight billion, one hundred eighty-five million, four hundred ninety-two thousand, two hundred twenty-five".