201291309025 has 27 divisors (see below), whose sum is σ = 253932751449. Its totient is φ = 158285484000.

The previous prime is 201291309017. The next prime is 201291309049. The reversal of 201291309025 is 520903192102.

The square root of 201291309025 is 448655.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92718423009 + 108572886016 = 304497^2 + 329504^2 .

It is not a de Polignac number, because 201291309025 - 2³ = 201291309017 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, 136839040 + ... + 136840510.

Almost surely, 2^201291309025 is an apocalyptic number.

201291309025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201291309025 is the 448655-th square number.

201291309025 is the 224328-th centered octagonal number.

It is an amenable number.

201291309025 is a deficient number, since it is larger than the sum of its proper divisors (52641442424).

201291309025 is an frugal number, since it uses more digits than its factorization.

201291309025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 201291309025 in words is "two hundred one billion, two hundred ninety-one million, three hundred nine thousand, twenty-five".