1535628125 has 18 divisors (see below), whose sum is σ = 1922154318. Its totient is φ = 1226750000.

The previous prime is 1535628119. The next prime is 1535628137. The reversal of 1535628125 is 5218265351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 1253018404 + 282609721 = 35398^2 + 16811^2 .

It is not a de Polignac number, because 1535628125 - 2⁴ = 1535628109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2190275 + ... + 2190975.

It is an arithmetic number, because the mean of its divisors is an integer number (106786351).

Almost surely, 2^1535628125 is an apocalyptic number.

It is an amenable number.

1535628125 is a deficient number, since it is larger than the sum of its proper divisors (386526193).

1535628125 is an frugal number, since it uses more digits than its factorization.

1535628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 706 counting only the distinct ones).

The product of its digits is 72000, while the sum is 38.

The square root of 1535628125 is about 39187.0913056838. The cubic root of 1535628125 is about 1153.7065347445.

Multiplying 1535628125 by its product of digits (72000), we get a square (110565225000000 = 10515000²).

The spelling of 1535628125 in words is "one billion, five hundred thirty-five million, six hundred twenty-eight thousand, one hundred twenty-five".