5185406512 has 80 divisors (see below), whose sum is σ = 11857241088. Its totient is φ = 2165725440.

The previous prime is 5185406497. The next prime is 5185406579. The reversal of 5185406512 is 2156045815.

It is a super-2 number, since 2×5185406512² = 53776881389384012288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505143 + ... + 515305.

Almost surely, 2^5185406512 is an apocalyptic number.

5185406512 is a gapful number since it is divisible by the number (52) 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 5185406512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928620544).

5185406512 is an abundant number, since it is smaller than the sum of its proper divisors (6671834576).

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

5185406512 is a wasteful number, since it uses less digits than its factorization.

5185406512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10412 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 5185406512 is about 72009.7667820137. The cubic root of 5185406512 is about 1730.8559934658.

The spelling of 5185406512 in words is "five billion, one hundred eighty-five million, four hundred six thousand, five hundred twelve".