10233155240505 has 24 divisors (see below), whose sum is σ = 18780849619272. Its totient is φ = 5136642630144.

The previous prime is 10233155240489. The next prime is 10233155240521. The reversal of 10233155240505 is 50504255133201.

10233155240505 is a `hidden beast` number, since 1 + 0 + 23 + 31 + 552 + 4 + 0 + 50 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10233155240489) and next prime (10233155240521).

It can be written as a sum of positive squares in 4 ways, for example, as 1104321451689 + 9128833788816 = 1050867^2 + 3021396^2 .

It is not a de Polignac number, because 10233155240505 - 2⁴ = 10233155240489 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10233155240505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6688335994 + ... + 6688337523.

It is an arithmetic number, because the mean of its divisors is an integer number (782535400803).

Almost surely, 2^{10233155240505} is an apocalyptic number.

10233155240505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10233155240505 is a deficient number, since it is larger than the sum of its proper divisors (8547694378767).

10233155240505 is a wasteful number, since it uses less digits than its factorization.

10233155240505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13376673545 (or 13376673542 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 10233155240505 in words is "ten trillion, two hundred thirty-three billion, one hundred fifty-five million, two hundred forty thousand, five hundred five".