1033253125 has 12 divisors (see below), whose sum is σ = 1291487652. Its totient is φ = 826600000.

The previous prime is 1033253113. The next prime is 1033253147. The reversal of 1033253125 is 5213523301.

It can be written as a sum of positive squares in 6 ways, for example, as 484616196 + 548636929 = 22014^2 + 23423^2 .

It is not a de Polignac number, because 1033253125 - 2¹¹ = 1033251077 is a prime.

It is a super-3 number, since 3×1033253125³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 1033253125.

It is a congruent number.

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, 162196 + ... + 168445.

It is an arithmetic number, because the mean of its divisors is an integer number (107623971).

Almost surely, 2^1033253125 is an apocalyptic number.

It is an amenable number.

1033253125 is a deficient number, since it is larger than the sum of its proper divisors (258234527).

1033253125 is an frugal number, since it uses more digits than its factorization.

1033253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330666 (or 330646 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 1033253125 is about 32144.2549299249. The cubic root of 1033253125 is about 1010.9637322817.

Adding to 1033253125 its reverse (5213523301), we get a palindrome (6246776426).

The spelling of 1033253125 in words is "one billion, thirty-three million, two hundred fifty-three thousand, one hundred twenty-five".