2005135250454 has 96 divisors (see below), whose sum is σ = 5188366669824. Its totient is φ = 547204996800.

The previous prime is 2005135250449. The next prime is 2005135250473. The reversal of 2005135250454 is 4540525315002.

2005135250454 is a `hidden beast` number, since 2 + 0 + 0 + 51 + 3 + 52 + 504 + 54 = 666.

It is a super-2 number, since 2×2005135250454² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1537987 + ... + 2525009.

It is an arithmetic number, because the mean of its divisors is an integer number (54045486144).

Almost surely, 2^{2005135250454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005135250454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594183334912).

2005135250454 is an abundant number, since it is smaller than the sum of its proper divisors (3183231419370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005135250454 is a wasteful number, since it uses less digits than its factorization.

2005135250454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987762 (or 987759 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 2005135250454 in words is "two trillion, five billion, one hundred thirty-five million, two hundred fifty thousand, four hundred fifty-four".