5101001640 has 768 divisors, whose sum is σ = 21737963520. Its totient is φ = 1009704960.

The previous prime is 5101001621. The next prime is 5101001683. The reversal of 5101001640 is 461001015.

5101001640 is a `hidden beast` number, since 5 + 10 + 10 + 0 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30544837 + ... + 30545003.

It is an arithmetic number, because the mean of its divisors is an integer number (28304640).

Almost surely, 2^5101001640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101001640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10868981760).

5101001640 is an abundant number, since it is smaller than the sum of its proper divisors (16636961880).

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

5101001640 is a wasteful number, since it uses less digits than its factorization.

5101001640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 5101001640 is about 71421.2968238466. The cubic root of 5101001640 is about 1721.4133011638.

Adding to 5101001640 its reverse (461001015), we get a palindrome (5562002655).

The spelling of 5101001640 in words is "five billion, one hundred one million, one thousand, six hundred forty".