5105510105000 has 80 divisors (see below), whose sum is σ = 12080649095460. Its totient is φ = 2021984000000.

The previous prime is 5105510104973. The next prime is 5105510105009. The reversal of 5105510105000 is 5010155015.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 139841594116 + 4965668510884 = 373954^2 + 2228378^2 .

It is a super-2 number, since 2×5105510105000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5105510105009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4549961 + ... + 5559960.

Almost surely, 2^{5105510105000} is an apocalyptic number.

5105510105000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105510105000 is an abundant number, since it is smaller than the sum of its proper divisors (6975138990460).

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

5105510105000 is a wasteful number, since it uses less digits than its factorization.

5105510105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110048 (or 10110029 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 5105510105000 in words is "five trillion, one hundred five billion, five hundred ten million, one hundred five thousand".