5258951900 has 36 divisors (see below), whose sum is σ = 11417290080. Its totient is φ = 2102592000.

The previous prime is 5258951891. The next prime is 5258951911. The reversal of 5258951900 is 91598525.

It is a super-3 number, since 3×5258951900³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223916 + ... + 246284.

Almost surely, 2^5258951900 is an apocalyptic number.

5258951900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5258951900 is an abundant number, since it is smaller than the sum of its proper divisors (6158338180).

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

5258951900 is a wasteful number, since it uses less digits than its factorization.

5258951900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24734 (or 24727 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 44.

The square root of 5258951900 is about 72518.6313991101. The cubic root of 5258951900 is about 1739.0006041423. Note that the first 3 decimals are identical.

The spelling of 5258951900 in words is "five billion, two hundred fifty-eight million, nine hundred fifty-one thousand, nine hundred".