201273363225 has 81 divisors (see below), whose sum is σ = 396401105919. Its totient is φ = 97551194400.

The previous prime is 201273363223. The next prime is 201273363301. The reversal of 201273363225 is 522363372102.

The square root of 201273363225 is 448635.

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

201273363225 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 73 + 363 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72458410761 + 128814952464 = 269181^2 + 358908^2 .

It is not a de Polignac number, because 201273363225 - 2¹ = 201273363223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201273363225.

It is not an unprimeable number, because it can be changed into a prime (201273363223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 74023416 + ... + 74026134.

Almost surely, 2^201273363225 is an apocalyptic number.

201273363225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201273363225 is the 448635-th square number.

201273363225 is the 224318-th centered octagonal number.

It is an amenable number.

201273363225 is a deficient number, since it is larger than the sum of its proper divisors (195127742694).

201273363225 is an equidigital number, since it uses as much as digits as its factorization.

201273363225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Multiplying 201273363225 by its sum of digits (36), we get a square (7245841076100 = 2691810²).

The spelling of 201273363225 in words is "two hundred one billion, two hundred seventy-three million, three hundred sixty-three thousand, two hundred twenty-five".