1005253511020 has 48 divisors (see below), whose sum is σ = 2318195771136. Its totient is φ = 363125880000.

The previous prime is 1005253510951. The next prime is 1005253511057. The reversal of 1005253511020 is 201153525001.

It is a super-2 number, since 2×1005253511020² (a number of 25 digits) contains 22 as substring.

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, 15097026 + ... + 15163465.

It is an arithmetic number, because the mean of its divisors is an integer number (48295745232).

Almost surely, 2^{1005253511020} is an apocalyptic number.

1005253511020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005253511020 is an abundant number, since it is smaller than the sum of its proper divisors (1312942260116).

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

1005253511020 is a wasteful number, since it uses less digits than its factorization.

1005253511020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30260662 (or 30260660 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 1005253511020 in words is "one trillion, five billion, two hundred fifty-three million, five hundred eleven thousand, twenty".