1052761000 has 96 divisors (see below), whose sum is σ = 2535132600. Its totient is φ = 409190400.

The previous prime is 1052760953. The next prime is 1052761001. The reversal of 1052761000 is 1672501.

It can be written as a sum of positive squares in 12 ways, for example, as 36554116 + 1016206884 = 6046^2 + 31878^2 .

It is a super-2 number, since 2×1052761000² = 2216611446242000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052761001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368616 + ... + 1369384.

Almost surely, 2^1052761000 is an apocalyptic number.

1052761000 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 1052761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267566300).

1052761000 is an abundant number, since it is smaller than the sum of its proper divisors (1482371600).

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

1052761000 is an equidigital number, since it uses as much as digits as its factorization.

1052761000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1052761000 is about 32446.2786772228. The cubic root of 1052761000 is about 1017.2864565640.

It can be divided in two parts, 105276 and 1000, that added together give a square (106276 = 326²).

The spelling of 1052761000 in words is "one billion, fifty-two million, seven hundred sixty-one thousand".