2005524254033 has 8 divisors (see below), whose sum is σ = 2160173004000. Its totient is φ = 1855784988288.

The previous prime is 2005524253979. The next prime is 2005524254053. The reversal of 2005524254033 is 3304524255002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005524254033 - 2²² = 2005520059729 is a prime.

It is a super-2 number, since 2×2005524254033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005524253984 and 2005524254002.

It is not an unprimeable number, because it can be changed into a prime (2005524254053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1227370208 + ... + 1227371841.

It is an arithmetic number, because the mean of its divisors is an integer number (270021625500).

Almost surely, 2^{2005524254033} is an apocalyptic number.

It is an amenable number.

2005524254033 is a deficient number, since it is larger than the sum of its proper divisors (154648749967).

2005524254033 is a wasteful number, since it uses less digits than its factorization.

2005524254033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454742111.

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 2005524254033 in words is "two trillion, five billion, five hundred twenty-four million, two hundred fifty-four thousand, thirty-three".