201479788225 has 27 divisors (see below), whose sum is σ = 252492609187. Its totient is φ = 159487120880.

The previous prime is 201479788157. The next prime is 201479788231. The reversal of 201479788225 is 522887974102.

The square root of 201479788225 is 448865.

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., 72532723761 + 128947064464 = 269319^2 + 359092^2 .

It is a de Polignac number, because none of the positive numbers 2^k-201479788225 is a prime.

It is a Duffinian number.

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, 240142356 + ... + 240143194.

Almost surely, 2^201479788225 is an apocalyptic number.

201479788225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201479788225 is the 448865-th square number.

201479788225 is the 224433-rd centered octagonal number.

It is an amenable number.

201479788225 is a deficient number, since it is larger than the sum of its proper divisors (51012820962).

201479788225 is an frugal number, since it uses more digits than its factorization.

201479788225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 201479788225 in words is "two hundred one billion, four hundred seventy-nine million, seven hundred eighty-eight thousand, two hundred twenty-five".