4659187005225 has 189 divisors, whose sum is σ = 8844063847239. Its totient is φ = 2433768832800.

The previous prime is 4659187005197. The next prime is 4659187005233. The reversal of 4659187005225 is 5225007819564.

The square root of 4659187005225 is 2158515.

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

4659187005225 is a `hidden beast` number, since 46 + 5 + 9 + 1 + 8 + 70 + 0 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1677307321881 + 2981879683344 = 1295109^2 + 1726812^2 .

It is not a de Polignac number, because 4659187005225 - 2¹⁵ = 4659186972457 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 17192571840 + ... + 17192572110.

Almost surely, 2^{4659187005225} is an apocalyptic number.

4659187005225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4659187005225 is the 2158515-th square number.

4659187005225 is the 1079258-th centered octagonal number.

It is an amenable number.

4659187005225 is a deficient number, since it is larger than the sum of its proper divisors (4184876842014).

4659187005225 is an frugal number, since it uses more digits than its factorization.

4659187005225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 4659187005225 in words is "four trillion, six hundred fifty-nine billion, one hundred eighty-seven million, five thousand, two hundred twenty-five".