2005263104157 has 48 divisors (see below), whose sum is σ = 2935706841600. Its totient is φ = 1318881139200.

The previous prime is 2005263104137. The next prime is 2005263104183. The reversal of 2005263104157 is 7514013625002.

2005263104157 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 2 + 631 + 0 + 4 + 15 + 7 = 666.

It is not a de Polignac number, because 2005263104157 - 2⁸ = 2005263103901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005263104137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244272069 + ... + 244280277.

It is an arithmetic number, because the mean of its divisors is an integer number (61160559200).

Almost surely, 2^{2005263104157} is an apocalyptic number.

It is an amenable number.

2005263104157 is a deficient number, since it is larger than the sum of its proper divisors (930443737443).

2005263104157 is a wasteful number, since it uses less digits than its factorization.

2005263104157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 2005263104157 its reverse (7514013625002), we get a palindrome (9519276729159).

The spelling of 2005263104157 in words is "two trillion, five billion, two hundred sixty-three million, one hundred four thousand, one hundred fifty-seven".