289201950625 has 75 divisors (see below), whose sum is σ = 422555333541. Its totient is φ = 197858178000.

The previous prime is 289201950617. The next prime is 289201950677. The reversal of 289201950625 is 526059102982.

The square root of 289201950625 is 537775.

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

It can be written as a sum of positive squares in 2 ways, for example, as 22673432929 + 266528517696 = 150577^2 + 516264^2 .

It is not a de Polignac number, because 289201950625 - 2³ = 289201950617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 658774156 + ... + 658774594.

Almost surely, 2^289201950625 is an apocalyptic number.

289201950625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

289201950625 is the 537775-th square number.

289201950625 is the 268888-th centered octagonal number.

It is an amenable number.

289201950625 is a deficient number, since it is larger than the sum of its proper divisors (133353382916).

289201950625 is an frugal number, since it uses more digits than its factorization.

289201950625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 289201950625 by its sum of digits (49), we get a square (14170895580625 = 3764425²).

289201950625 divided by its sum of digits (49) gives a square (5902080625 = 76825²).

The spelling of 289201950625 in words is "two hundred eighty-nine billion, two hundred one million, nine hundred fifty thousand, six hundred twenty-five".