1252534041 has 72 divisors (see below), whose sum is σ = 2179162440. Its totient is φ = 689525760.

The previous prime is 1252534039. The next prime is 1252534043. The reversal of 1252534041 is 1404352521.

1252534041 is a `hidden beast` number, since 1 + 2 + 5 + 253 + 404 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1252534039) and next prime (1252534043).

It can be written as a sum of positive squares in 4 ways, for example, as 259338816 + 993195225 = 16104^2 + 31515^2 .

It is not a de Polignac number, because 1252534041 - 2¹ = 1252534039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1252533996 and 1252534014.

It is not an unprimeable number, because it can be changed into a prime (1252534043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 535711 + ... + 538043.

It is an arithmetic number, because the mean of its divisors is an integer number (30266145).

Almost surely, 2^1252534041 is an apocalyptic number.

1252534041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1252534041 is a deficient number, since it is larger than the sum of its proper divisors (926628399).

1252534041 is a wasteful number, since it uses less digits than its factorization.

1252534041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1252534041 is about 35391.1576668523. The cubic root of 1252534041 is about 1077.9447771239.

Adding to 1252534041 its reverse (1404352521), we get a palindrome (2656886562).

The spelling of 1252534041 in words is "one billion, two hundred fifty-two million, five hundred thirty-four thousand, forty-one".