289200952125 has 128 divisors (see below), whose sum is σ = 559982592000. Its totient is φ = 148917787200.

The previous prime is 289200952111. The next prime is 289200952147. The reversal of 289200952125 is 521259002982.

It is a happy number.

289200952125 is a `hidden beast` number, since 2 + 89 + 20 + 0 + 9 + 521 + 25 = 666.

It is not a de Polignac number, because 289200952125 - 2¹⁷ = 289200821053 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7909636 + ... + 7946114.

It is an arithmetic number, because the mean of its divisors is an integer number (4374864000).

Almost surely, 2^289200952125 is an apocalyptic number.

289200952125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289200952125 is a deficient number, since it is larger than the sum of its proper divisors (270781639875).

289200952125 is an frugal number, since it uses more digits than its factorization.

289200952125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36544 (or 36516 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 289200952125 in words is "two hundred eighty-nine billion, two hundred million, nine hundred fifty-two thousand, one hundred twenty-five".