1005365020 has 48 divisors (see below), whose sum is σ = 2321399808. Its totient is φ = 362698560.

The previous prime is 1005365017. The next prime is 1005365051. The reversal of 1005365020 is 205635001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1005364982 and 1005365000.

It is a congruent number.

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, 9949 + ... + 45931.

It is an arithmetic number, because the mean of its divisors is an integer number (48362496).

Almost surely, 2^1005365020 is an apocalyptic number.

1005365020 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 1005365020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160699904).

1005365020 is an abundant number, since it is smaller than the sum of its proper divisors (1316034788).

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

1005365020 is a wasteful number, since it uses less digits than its factorization.

1005365020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36130 (or 36128 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1005365020 is about 31707.4915437977. The cubic root of 1005365020 is about 1001.7851513384.

It can be divided in two parts, 1005 and 365020, that added together give a square (366025 = 605²).

The spelling of 1005365020 in words is "one billion, five million, three hundred sixty-five thousand, twenty".