1052678025 has 135 divisors (see below), whose sum is σ = 2290514391. Its totient is φ = 476552160.

The previous prime is 1052678023. The next prime is 1052678041. The reversal of 1052678025 is 5208762501.

It is a happy number.

The square root of 1052678025 is 32445.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 378964089 + 673713936 = 19467^2 + 25956^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1052678025 - 2¹ = 1052678023 is a prime.

It is a super-2 number, since 2×1052678025² = 2216262048635801250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1052678023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10220124 + ... + 10220226.

Almost surely, 2^1052678025 is an apocalyptic number.

1052678025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1052678025 is the 32445-th square number.

1052678025 is the 16223-rd centered octagonal number.

It is an amenable number.

1052678025 is an abundant number, since it is smaller than the sum of its proper divisors (1237836366).

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

1052678025 is an equidigital number, since it uses as much as digits as its factorization.

1052678025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The cubic root of 1052678025 is about 1017.2597295223.

Multiplying 1052678025 by its sum of digits (36), we get a square (37896408900 = 194670²).

The spelling of 1052678025 in words is "one billion, fifty-two million, six hundred seventy-eight thousand, twenty-five".