208087404805225 has 81 divisors (see below), whose sum is σ = 290749655839503. Its totient is φ = 147622084896000.

The previous prime is 208087404805223. The next prime is 208087404805249. The reversal of 208087404805225 is 522508404780802.

The square root of 208087404805225 is 14425235.

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

It can be written as a sum of positive squares in 13 ways, for example, as 138319874336809 + 69767530468416 = 11760947^2 + 8352696^2 .

It is not a de Polignac number, because 208087404805225 - 2¹ = 208087404805223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208087404805223) 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, 32528901727 + ... + 32528908123.

Almost surely, 2^{208087404805225} is an apocalyptic number.

208087404805225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

208087404805225 is the 14425235-th square number.

208087404805225 is the 7212618-th centered octagonal number.

It is an amenable number.

208087404805225 is a deficient number, since it is larger than the sum of its proper divisors (82662251034278).

208087404805225 is an frugal number, since it uses more digits than its factorization.

208087404805225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12908 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 55.

The spelling of 208087404805225 in words is "two hundred eight trillion, eighty-seven billion, four hundred four million, eight hundred five thousand, two hundred twenty-five".