84515211225 has 27 divisors (see below), whose sum is σ = 151383944829. Its totient is φ = 45072453600.

The previous prime is 84515211197. The next prime is 84515211311. The reversal of 84515211225 is 52211251548.

The square root of 84515211225 is 290715.

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

84515211225 is a `hidden beast` number, since 8 + 4 + 5 + 1 + 521 + 122 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1888858521 + 82626352704 = 43461^2 + 287448^2 .

It is not a de Polignac number, because 84515211225 - 2¹⁹ = 84514686937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84515211225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4351035 + ... + 4370415.

Almost surely, 2^84515211225 is an apocalyptic number.

84515211225 is the 290715-th square number.

84515211225 is the 145358-th centered octagonal number.

It is an amenable number.

84515211225 is a deficient number, since it is larger than the sum of its proper divisors (66868733604).

84515211225 is an frugal number, since it uses more digits than its factorization.

84515211225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38778 (or 19389 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

Multiplying 84515211225 by its sum of digits (36), we get a square (3042547604100 = 1744290²).

The spelling of 84515211225 in words is "eighty-four billion, five hundred fifteen million, two hundred eleven thousand, two hundred twenty-five".