2513242138806 has 144 divisors (see below), whose sum is σ = 6574110693696. Its totient is φ = 717510893904.

The previous prime is 2513242138769. The next prime is 2513242138853. The reversal of 2513242138806 is 6088312423152.

2513242138806 is a `hidden beast` number, since 2 + 513 + 2 + 4 + 21 + 38 + 80 + 6 = 666.

It is a super-2 number, since 2×2513242138806² (a number of 26 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 71 ways as a sum of consecutive naturals, for example, 31084525 + ... + 31165271.

It is an arithmetic number, because the mean of its divisors is an integer number (45653546484).

Almost surely, 2^{2513242138806} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513242138806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287055346848).

2513242138806 is an abundant number, since it is smaller than the sum of its proper divisors (4060868554890).

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

2513242138806 is a wasteful number, since it uses less digits than its factorization.

2513242138806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82085 (or 82066 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2513242138806 in words is "two trillion, five hundred thirteen billion, two hundred forty-two million, one hundred thirty-eight thousand, eight hundred six".