2005145316531 has 96 divisors (see below), whose sum is σ = 3526718261248. Its totient is φ = 1114429415040.

The previous prime is 2005145316511. The next prime is 2005145316539. The reversal of 2005145316531 is 1356135415002.

2005145316531 is a `hidden beast` number, since 2 + 0 + 0 + 51 + 45 + 31 + 6 + 531 = 666.

It is not a de Polignac number, because 2005145316531 - 2¹¹ = 2005145314483 is a prime.

It is a super-2 number, since 2×2005145316531² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005145316539) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301024341 + ... + 301031001.

Almost surely, 2^{2005145316531} is an apocalyptic number.

2005145316531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2005145316531 is a deficient number, since it is larger than the sum of its proper divisors (1521572944717).

2005145316531 is an equidigital number, since it uses as much as digits as its factorization.

2005145316531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2005145316531 in words is "two trillion, five billion, one hundred forty-five million, three hundred sixteen thousand, five hundred thirty-one".