5155581312 has 288 divisors, whose sum is σ = 17626411920. Its totient is φ = 1471343616.

The previous prime is 5155581311. The next prime is 5155581329. The reversal of 5155581312 is 2131855515.

5155581312 is a `hidden beast` number, since 515 + 5 + 5 + 8 + 131 + 2 = 666.

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

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5155581311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878218 + ... + 5879094.

Almost surely, 2^5155581312 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 5155581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8813205960).

5155581312 is an abundant number, since it is smaller than the sum of its proper divisors (12470830608).

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

5155581312 is an frugal number, since it uses more digits than its factorization.

5155581312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 889 counting only the distinct ones).

The product of its digits is 30000, while the sum is 36.

The square root of 5155581312 is about 71802.3767851733. The cubic root of 5155581312 is about 1727.5311227859.

The spelling of 5155581312 in words is "five billion, one hundred fifty-five million, five hundred eighty-one thousand, three hundred twelve".