5151101340 has 192 divisors, whose sum is σ = 18016846848. Its totient is φ = 1068288000.

The previous prime is 5151101339. The next prime is 5151101341. The reversal of 5151101340 is 431011515.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5151101339) and next prime (5151101341).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151101341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3958690 + ... + 3959990.

It is an arithmetic number, because the mean of its divisors is an integer number (93837744).

Almost surely, 2^5151101340 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 5151101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008423424).

5151101340 is an abundant number, since it is smaller than the sum of its proper divisors (12865745508).

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

5151101340 is a wasteful number, since it uses less digits than its factorization.

5151101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 5151101340 is about 71771.1734612163. The cubic root of 5151101340 is about 1727.0305950811.

Adding to 5151101340 its reverse (431011515), we get a palindrome (5582112855).

It can be divided in two parts, 5151 and 101340, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 5151101340 in words is "five billion, one hundred fifty-one million, one hundred one thousand, three hundred forty".