186503679523225 has 9 divisors (see below), whose sum is σ = 231264647279967. Its totient is φ = 149202888992040.

The previous prime is 186503679523099. The next prime is 186503679523237. The reversal of 186503679523225 is 522325976305681.

The square root of 186503679523225 is 13656635.

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., 67141324628361 + 119362354894864 = 8193981^2 + 10925308^2 .

It is not a de Polignac number, because 186503679523225 - 2²³ = 186503671134617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 66917512 + ... + 69648838.

Almost surely, 2^{186503679523225} is an apocalyptic number.

186503679523225 is the 13656635-th square number.

186503679523225 is the 6828318-th centered octagonal number.

It is an amenable number.

186503679523225 is a deficient number, since it is larger than the sum of its proper divisors (44760967756742).

186503679523225 is an frugal number, since it uses more digits than its factorization.

186503679523225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462664 (or 2731332 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 64.

The spelling of 186503679523225 in words is "one hundred eighty-six trillion, five hundred three billion, six hundred seventy-nine million, five hundred twenty-three thousand, two hundred twenty-five".