5261274648 has 576 divisors, whose sum is σ = 19232575200. Its totient is φ = 1340333568.

The previous prime is 5261274643. The next prime is 5261274653. The reversal of 5261274648 is 8464721625.

5261274648 is a `hidden beast` number, since 526 + 12 + 74 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (5261274643) and next prime (5261274653).

Its product of digits (645120) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261274643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 276909183 + ... + 276909201.

Almost surely, 2^5261274648 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 5261274648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616287600).

5261274648 is an abundant number, since it is smaller than the sum of its proper divisors (13971300552).

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

5261274648 is a wasteful number, since it uses less digits than its factorization.

5261274648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5261274648 is about 72534.6444673164. The cubic root of 5261274648 is about 1739.2565908685.

It can be divided in two parts, 52612 and 74648, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 5261274648 in words is "five billion, two hundred sixty-one million, two hundred seventy-four thousand, six hundred forty-eight".