233257123089 has 45 divisors (see below), whose sum is σ = 352538293899. Its totient is φ = 153699418080.

The previous prime is 233257123087. The next prime is 233257123123. The reversal of 233257123089 is 980321752332.

The square root of 233257123089 is 482967.

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

233257123089 is a `hidden beast` number, since 2 + 3 + 325 + 7 + 12 + 308 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66891028689 + 166366094400 = 258633^2 + 407880^2 .

It is not a de Polignac number, because 233257123089 - 2¹ = 233257123087 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233257123087) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 447710149 + ... + 447710669.

Almost surely, 2^233257123089 is an apocalyptic number.

233257123089 is the 482967-th square number.

233257123089 is the 241484-th centered octagonal number.

It is an amenable number.

233257123089 is a deficient number, since it is larger than the sum of its proper divisors (119281170810).

233257123089 is an frugal number, since it uses more digits than its factorization.

233257123089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 233257123089 in words is "two hundred thirty-three billion, two hundred fifty-seven million, one hundred twenty-three thousand, eighty-nine".