5151824766 has 96 divisors (see below), whose sum is σ = 12469597920. Its totient is φ = 1524096000.

The previous prime is 5151824761. The next prime is 5151824779. The reversal of 5151824766 is 6674281515.

5151824766 is a `hidden beast` number, since 51 + 51 + 82 + 476 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151824761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458090 + ... + 1461618.

It is an arithmetic number, because the mean of its divisors is an integer number (129891645).

Almost surely, 2^5151824766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151824766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234798960).

5151824766 is an abundant number, since it is smaller than the sum of its proper divisors (7317773154).

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

5151824766 is a wasteful number, since it uses less digits than its factorization.

5151824766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3719 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5151824766 is about 71776.2130931968. The cubic root of 5151824766 is about 1727.1114399510. Note that the first 3 decimals are identical.

It can be divided in two parts, 515 and 1824766, that added together give a palindrome (1825281).

The spelling of 5151824766 in words is "five billion, one hundred fifty-one million, eight hundred twenty-four thousand, seven hundred sixty-six".