1032575013 has 8 divisors (see below), whose sum is σ = 1529740800. Its totient is φ = 688383324.

The previous prime is 1032575003. The next prime is 1032575017. The reversal of 1032575013 is 3105752301.

1032575013 is a `hidden beast` number, since 103 + 2 + 57 + 501 + 3 = 666.

It is not a de Polignac number, because 1032575013 - 2²⁶ = 965466149 is a prime.

It is a super-2 number, since 2×1032575013² = 2132422314943900338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 38243519 = 1032575013 / (1 + 0 + 3 + 2 + 5 + 7 + 5 + 0 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032575017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19121733 + ... + 19121786.

It is an arithmetic number, because the mean of its divisors is an integer number (191217600).

Almost surely, 2^1032575013 is an apocalyptic number.

It is an amenable number.

1032575013 is a deficient number, since it is larger than the sum of its proper divisors (497165787).

1032575013 is an equidigital number, since it uses as much as digits as its factorization.

1032575013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38243528 (or 38243522 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1032575013 is about 32133.7052485393. The cubic root of 1032575013 is about 1010.7425226386.

The spelling of 1032575013 in words is "one billion, thirty-two million, five hundred seventy-five thousand, thirteen".