5106526146 has 128 divisors (see below), whose sum is σ = 12296064000. Its totient is φ = 1565682048.

The previous prime is 5106526133. The next prime is 5106526153. The reversal of 5106526146 is 6416256015.

It is a super-2 number, since 2×5106526146² = 52153218559563226632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5106526146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12485190 + ... + 12485598.

It is an arithmetic number, because the mean of its divisors is an integer number (96063000).

Almost surely, 2^5106526146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106526146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148032000).

5106526146 is an abundant number, since it is smaller than the sum of its proper divisors (7189537854).

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

5106526146 is a wasteful number, since it uses less digits than its factorization.

5106526146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5106526146 is about 71459.9618387807. The cubic root of 5106526146 is about 1722.0345207906.

The spelling of 5106526146 in words is "five billion, one hundred six million, five hundred twenty-six thousand, one hundred forty-six".