1052625 has 32 divisors (see below), whose sum is σ = 2006784. Its totient is φ = 480000.

The previous prime is 1052609. The next prime is 1052629. The reversal of 1052625 is 5262501.

It is not a de Polignac number, because 1052625 - 2⁴ = 1052609 is a prime.

It is a super-2 number, since 2×1052625² = 2216038781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

1052625 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1052629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2425 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (62712).

2^1052625 is an apocalyptic number.

1052625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1052625 is a deficient number, since it is larger than the sum of its proper divisors (954159).

1052625 is an equidigital number, since it uses as much as digits as its factorization.

1052625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1052625 is about 1025.9751458978. The cubic root of 1052625 is about 101.7242648927.

It can be divided in two parts, 105 and 2625, that multiplied together give a square (275625 = 525²).

The spelling of 1052625 in words is "one million, fifty-two thousand, six hundred twenty-five".