1005749952450 has 48 divisors (see below), whose sum is σ = 2507183580576. Its totient is φ = 266810342400.

The previous prime is 1005749952413. The next prime is 1005749952509. The reversal of 1005749952450 is 542599475001.

It is a super-2 number, since 2×1005749952450² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005749952393 and 1005749952402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17341516 + ... + 17399415.

It is an arithmetic number, because the mean of its divisors is an integer number (52232991262).

Almost surely, 2^{1005749952450} is an apocalyptic number.

1005749952450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005749952450 is an abundant number, since it is smaller than the sum of its proper divisors (1501433628126).

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

1005749952450 is a wasteful number, since it uses less digits than its factorization.

1005749952450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34741139 (or 34741134 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 1005749952450 in words is "one trillion, five billion, seven hundred forty-nine million, nine hundred fifty-two thousand, four hundred fifty".