1010505000 has 320 divisors, whose sum is σ = 3441398400. Its totient is φ = 246400000.

The previous prime is 1010504959. The next prime is 1010505017. The reversal of 1010505000 is 5050101.

It is a super-2 number, since 2×1010505000² = 2042240710050000000, which contains 22 as substring.

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

It is a congruent number.

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, 10004950 + ... + 10005050.

It is an arithmetic number, because the mean of its divisors is an integer number (10754370).

Almost surely, 2^1010505000 is an apocalyptic number.

1010505000 is a gapful number since it is divisible by the number (10) 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 1010505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720699200).

1010505000 is an abundant number, since it is smaller than the sum of its proper divisors (2430893400).

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

1010505000 is a wasteful number, since it uses less digits than its factorization.

1010505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 1010505000 is about 31788.4412955401. The cubic root of 1010505000 is about 1003.4894760604.

Adding to 1010505000 its reverse (5050101), we get a palindrome (1015555101).

The spelling of 1010505000 in words is "one billion, ten million, five hundred five thousand".