5125419000 has 384 divisors, whose sum is σ = 18949956480. Its totient is φ = 1241856000.

The previous prime is 5125418993. The next prime is 5125419011. The reversal of 5125419000 is 9145215.

It is a super-2 number, since 2×5125419000² = 52539839851122000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8306692 + ... + 8307308.

It is an arithmetic number, because the mean of its divisors is an integer number (49348845).

Almost surely, 2^5125419000 is an apocalyptic number.

5125419000 is a gapful number since it is divisible by the number (50) 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 5125419000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9474978240).

5125419000 is an abundant number, since it is smaller than the sum of its proper divisors (13824537480).

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

5125419000 is a wasteful number, since it uses less digits than its factorization.

5125419000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5125419000 is about 71592.0316795103. The cubic root of 5125419000 is about 1724.1556043752.

The spelling of 5125419000 in words is "five billion, one hundred twenty-five million, four hundred nineteen thousand".