1005770052 has 72 divisors (see below), whose sum is σ = 2917317312. Its totient is φ = 286200000.

The previous prime is 1005770047. The next prime is 1005770053. The reversal of 1005770052 is 2500775001.

It is a junction number, because it is equal to n+sod(n) for n = 1005769998 and 1005770025.

It is not an unprimeable number, because it can be changed into a prime (1005770053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55302 + ... + 71202.

It is an arithmetic number, because the mean of its divisors is an integer number (40518296).

Almost surely, 2^1005770052 is an apocalyptic number.

1005770052 is a gapful number since it is divisible by the number (12) 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 1005770052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458658656).

1005770052 is an abundant number, since it is smaller than the sum of its proper divisors (1911547260).

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

1005770052 is a wasteful number, since it uses less digits than its factorization.

1005770052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16169 (or 16164 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 1005770052 is about 31713.8779085750. The cubic root of 1005770052 is about 1001.9196632018.

The spelling of 1005770052 in words is "one billion, five million, seven hundred seventy thousand, fifty-two".