1052825 has 12 divisors (see below), whose sum is σ = 1363008. Its totient is φ = 805200.

The previous prime is 1052819. The next prime is 1052851. The reversal of 1052825 is 5282501.

1052825 = T₂₉₁ + T₂₉₂ + ... + T₃₁₃.

It is a de Polignac number, because none of the positive numbers 2^k-1052825 is a prime.

It is a super-2 number, since 2×1052825² = 2216880961250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a d-powerful number, because it can be written as 1 + 0 + 5² + 2 + 8⁴ + 2²⁰ + 5³ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1052825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (113584).

2^1052825 is an apocalyptic number.

It is an amenable number.

1052825 is a deficient number, since it is larger than the sum of its proper divisors (310183).

1052825 is a wasteful number, since it uses less digits than its factorization.

1052825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 1052825 is about 1026.0726095165. The cubic root of 1052825 is about 101.7307070617.

The spelling of 1052825 in words is "one million, fifty-two thousand, eight hundred twenty-five".