6117586225 has 9 divisors (see below), whose sum is σ = 7586291883. Its totient is φ = 4893756120.

The previous prime is 6117586201. The next prime is 6117586231. The reversal of 6117586225 is 5226857116.

The square root of 6117586225 is 78215.

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., 2202331041 + 3915255184 = 46929^2 + 62572^2 .

It is not a de Polignac number, because 6117586225 - 2⁹ = 6117585713 is a prime.

It is a super-2 number, since 2×6117586225² = 74849722440619501250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 383254 + ... + 398896.

Almost surely, 2^6117586225 is an apocalyptic number.

6117586225 is the 78215-th square number.

6117586225 is the 39108-th centered octagonal number.

It is an amenable number.

6117586225 is a deficient number, since it is larger than the sum of its proper divisors (1468705658).

6117586225 is an frugal number, since it uses more digits than its factorization.

6117586225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31296 (or 15648 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The cubic root of 6117586225 is about 1828.9143455578.

The spelling of 6117586225 in words is "six billion, one hundred seventeen million, five hundred eighty-six thousand, two hundred twenty-five".