1258536041 has 24 divisors (see below), whose sum is σ = 1578699360. Its totient is φ = 997012800.

The previous prime is 1258536029. The next prime is 1258536067. The reversal of 1258536041 is 1406358521.

It is not a de Polignac number, because 1258536041 - 2³⁰ = 184794217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1258535992 and 1258536010.

It is not an unprimeable number, because it can be changed into a prime (1258536641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21686 + ... + 54656.

It is an arithmetic number, because the mean of its divisors is an integer number (65779140).

Almost surely, 2^1258536041 is an apocalyptic number.

It is an amenable number.

1258536041 is a deficient number, since it is larger than the sum of its proper divisors (320163319).

1258536041 is a wasteful number, since it uses less digits than its factorization.

1258536041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33045 (or 33038 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 1258536041 is about 35475.8515190263. The cubic root of 1258536041 is about 1079.6638302713.

The spelling of 1258536041 in words is "one billion, two hundred fifty-eight million, five hundred thirty-six thousand, forty-one".