2505435553233 has 16 divisors (see below), whose sum is σ = 3721105903360. Its totient is φ = 1666083081168.

The previous prime is 2505435553213. The next prime is 2505435553241. The reversal of 2505435553233 is 3323555345052.

2505435553233 is a `hidden beast` number, since 2 + 5 + 0 + 54 + 35 + 5 + 532 + 33 = 666.

It is not a de Polignac number, because 2505435553233 - 2⁹ = 2505435552721 is a prime.

It is a super-2 number, since 2×2505435553233² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505435553213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116858185 + ... + 116879622.

It is an arithmetic number, because the mean of its divisors is an integer number (232569118960).

Almost surely, 2^{2505435553233} is an apocalyptic number.

It is an amenable number.

2505435553233 is a deficient number, since it is larger than the sum of its proper divisors (1215670350127).

2505435553233 is a wasteful number, since it uses less digits than its factorization.

2505435553233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233738213 (or 233738207 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 45.

The spelling of 2505435553233 in words is "two trillion, five hundred five billion, four hundred thirty-five million, five hundred fifty-three thousand, two hundred thirty-three".