5261177340 has 192 divisors, whose sum is σ = 17401910400. Its totient is φ = 1315049472.

The previous prime is 5261177333. The next prime is 5261177347. The reversal of 5261177340 is 437711625.

It is a happy number.

5261177340 is a `hidden beast` number, since 5 + 2 + 611 + 7 + 7 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5261177333) and next prime (5261177347).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5261177295 and 5261177304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261177347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2541826 + ... + 2543894.

It is an arithmetic number, because the mean of its divisors is an integer number (90634950).

Almost surely, 2^5261177340 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 5261177340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700955200).

5261177340 is an abundant number, since it is smaller than the sum of its proper divisors (12140733060).

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

5261177340 is a wasteful number, since it uses less digits than its factorization.

5261177340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5261177340 is about 72533.9736950899. The cubic root of 5261177340 is about 1739.2458682056.

Adding to 5261177340 its reverse (437711625), we get a palindrome (5698888965).

The spelling of 5261177340 in words is "five billion, two hundred sixty-one million, one hundred seventy-seven thousand, three hundred forty".