233540314245225 has 288 divisors, whose sum is σ = 459340124600448. Its totient is φ = 112723522560000.

The previous prime is 233540314245223. The next prime is 233540314245239. The reversal of 233540314245225 is 522542413045332.

It is a happy number.

233540314245225 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 403 + 14 + 2 + 4 + 5 + 225 = 666.

It is not a de Polignac number, because 233540314245225 - 2¹ = 233540314245223 is a prime.

It is a super-2 number, since 2×233540314245225² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (233540314245221) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92271952210 + ... + 92271954740.

It is an arithmetic number, because the mean of its divisors is an integer number (1594930988196).

Almost surely, 2^{233540314245225} is an apocalyptic number.

233540314245225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233540314245225 is a deficient number, since it is larger than the sum of its proper divisors (225799810355223).

233540314245225 is a wasteful number, since it uses less digits than its factorization.

233540314245225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 233540314245225 in words is "two hundred thirty-three trillion, five hundred forty billion, three hundred fourteen million, two hundred forty-five thousand, two hundred twenty-five".