6365705611225 has 9 divisors (see below), whose sum is σ = 7893490600767. Its totient is φ = 5092554396840.

The previous prime is 6365705611201. The next prime is 6365705611231. The reversal of 6365705611225 is 5221165075636.

The square root of 6365705611225 is 2523035.

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

It can be written as a sum of positive squares in only one way, i.e., 2291654020041 + 4074051591184 = 1513821^2 + 2018428^2 .

It is not a de Polignac number, because 6365705611225 - 2²⁷ = 6365571393497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12362872 + ... + 12867478.

Almost surely, 2^{6365705611225} is an apocalyptic number.

6365705611225 is the 2523035-th square number.

6365705611225 is the 1261518-th centered octagonal number.

It is an amenable number.

6365705611225 is a deficient number, since it is larger than the sum of its proper divisors (1527784989542).

6365705611225 is an frugal number, since it uses more digits than its factorization.

6365705611225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009224 (or 504612 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

Multiplying 6365705611225 by its sum of digits (49), we get a square (311919574950025 = 17661245²).

The spelling of 6365705611225 in words is "six trillion, three hundred sixty-five billion, seven hundred five million, six hundred eleven thousand, two hundred twenty-five".