250000005000 has 320 divisors, whose sum is σ = 823911264000. Its totient is φ = 63019296000.

The previous prime is 250000004887. The next prime is 250000005029. The reversal of 250000005000 is 500000052.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210614407 + ... + 210615593.

It is an arithmetic number, because the mean of its divisors is an integer number (2574722700).

Almost surely, 2^250000005000 is an apocalyptic number.

250000005000 is a gapful number since it is divisible by the number (20) 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 250000005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411955632000).

250000005000 is an abundant number, since it is smaller than the sum of its proper divisors (573911259000).

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

250000005000 is a wasteful number, since it uses less digits than its factorization.

250000005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

Adding to 250000005000 its reverse (500000052), we get a palindrome (250500005052).

It can be divided in two parts, 25000000 and 5000, that multiplied together give a cube (125000000000 = 5000³).

The spelling of 250000005000 in words is "two hundred fifty billion, five thousand".