5267130624 has 360 divisors, whose sum is σ = 18151603008. Its totient is φ = 1488015360.

The previous prime is 5267130611. The next prime is 5267130629. The reversal of 5267130624 is 4260317625.

5267130624 is a `hidden beast` number, since 5 + 26 + 7 + 1 + 3 + 0 + 624 = 666.

It is a Cunningham number, because it is equal to 72575²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5267130629) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19014774 + ... + 19015050.

Almost surely, 2^5267130624 is an apocalyptic number.

5267130624 is a gapful number since it is divisible by the number (54) 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 5267130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9075801504).

5267130624 is an abundant number, since it is smaller than the sum of its proper divisors (12884472384).

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

5267130624 is a wasteful number, since it uses less digits than its factorization.

5267130624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5267130624 is about 72574.9999931106. Note that the first 5 decimals coincide. The cubic root of 5267130624 is about 1739.9016353431.

The spelling of 5267130624 in words is "five billion, two hundred sixty-seven million, one hundred thirty thousand, six hundred twenty-four".