86268501225 has 135 divisors (see below), whose sum is σ = 163994211381. Its totient is φ = 44832657600.

The previous prime is 86268501211. The next prime is 86268501247. The reversal of 86268501225 is 52210586268.

It is a happy number.

The square root of 86268501225 is 293715.

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

86268501225 is a `hidden beast` number, since 8 + 62 + 68 + 501 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39736834281 + 46531666944 = 199341^2 + 215712^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 86268501225 - 2¹³ = 86268493033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 806247622 + ... + 806247728.

Almost surely, 2^86268501225 is an apocalyptic number.

86268501225 is the 293715-th square number.

86268501225 is the 146858-th centered octagonal number.

It is an amenable number.

86268501225 is a deficient number, since it is larger than the sum of its proper divisors (77725710156).

86268501225 is an equidigital number, since it uses as much as digits as its factorization.

86268501225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 86268501225 in words is "eighty-six billion, two hundred sixty-eight million, five hundred one thousand, two hundred twenty-five".