5210554113006 has 256 divisors, whose sum is σ = 12546007584768. Its totient is φ = 1436484741120.

The previous prime is 5210554112923. The next prime is 5210554113049. The reversal of 5210554113006 is 6003114550125.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 788638155 + ... + 788644761.

It is an arithmetic number, because the mean of its divisors is an integer number (49007842128).

Almost surely, 2^{5210554113006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5210554113006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273003792384).

5210554113006 is an abundant number, since it is smaller than the sum of its proper divisors (7335453471762).

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

5210554113006 is a wasteful number, since it uses less digits than its factorization.

5210554113006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 5210554113006 in words is "five trillion, two hundred ten billion, five hundred fifty-four million, one hundred thirteen thousand, six".