5261254656 has 336 divisors, whose sum is σ = 17346844656. Its totient is φ = 1409286144.

The previous prime is 5261254651. The next prime is 5261254693. The reversal of 5261254656 is 6564521625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261254651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20471680 + ... + 20471936.

Almost surely, 2^5261254656 is an apocalyptic number.

5261254656 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 5261254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673422328).

5261254656 is an abundant number, since it is smaller than the sum of its proper divisors (12085590000).

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

5261254656 is a wasteful number, since it uses less digits than its factorization.

5261254656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 5261254656 is about 72534.5066571766. The cubic root of 5261254656 is about 1739.2543879003.

The spelling of 5261254656 in words is "five billion, two hundred sixty-one million, two hundred fifty-four thousand, six hundred fifty-six".