1050084025 has 9 divisors (see below), whose sum is σ = 1302305133. Its totient is φ = 839937600.

The previous prime is 1050084019. The next prime is 1050084041. The reversal of 1050084025 is 5204800501.

The square root of 1050084025 is 32405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 174160809 + 875923216 = 13197^2 + 29596^2 .

It is not a de Polignac number, because 1050084025 - 2¹⁹ = 1049559737 is a prime.

It is a super-2 number, since 2×1050084025² = 2205352919120401250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 158785 + ... + 165265.

Almost surely, 2^1050084025 is an apocalyptic number.

1050084025 is the 32405-th square number.

1050084025 is the 16203-rd centered octagonal number.

It is an amenable number.

1050084025 is a deficient number, since it is larger than the sum of its proper divisors (252221108).

1050084025 is an frugal number, since it uses more digits than its factorization.

1050084025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12972 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The cubic root of 1050084025 is about 1016.4234680612.

Multiplying 1050084025 by its sum of digits (25), we get a square (26252100625 = 162025²).

1050084025 divided by its sum of digits (25) gives a square (42003361 = 6481²).

Multiplying 1050084025 by its product of nonzero digits (1600), we get a square (1680134440000 = 1296200²).

Adding to 1050084025 its reverse (5204800501), we get a palindrome (6254884526).

The spelling of 1050084025 in words is "one billion, fifty million, eighty-four thousand, twenty-five".