5141265696 has 288 divisors, whose sum is σ = 17930989440. Its totient is φ = 1417844736.

The previous prime is 5141265691. The next prime is 5141265707. The reversal of 5141265696 is 6965621415.

5141265696 is a `hidden beast` number, since 514 + 12 + 65 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5141265696² = 52865225913732728832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5141265691) 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, 1576900 + ... + 1580156.

It is an arithmetic number, because the mean of its divisors is an integer number (62260380).

Almost surely, 2^5141265696 is an apocalyptic number.

5141265696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141265696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965494720).

5141265696 is an abundant number, since it is smaller than the sum of its proper divisors (12789723744).

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

5141265696 is a wasteful number, since it uses less digits than its factorization.

5141265696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3298 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 5141265696 is about 71702.6198684539. The cubic root of 5141265696 is about 1725.9306826592.

The spelling of 5141265696 in words is "five billion, one hundred forty-one million, two hundred sixty-five thousand, six hundred ninety-six".