1006263530541 has 48 divisors (see below), whose sum is σ = 1474388068608. Its totient is φ = 661280256000.

The previous prime is 1006263530537. The next prime is 1006263530561. The reversal of 1006263530541 is 1450353626001.

1006263530541 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 2 + 63 + 53 + 0 + 541 = 666.

It is not a de Polignac number, because 1006263530541 - 2² = 1006263530537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006263530496 and 1006263530505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006263530521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145473415 + ... + 145480331.

It is an arithmetic number, because the mean of its divisors is an integer number (30716418096).

Almost surely, 2^{1006263530541} is an apocalyptic number.

It is an amenable number.

1006263530541 is a deficient number, since it is larger than the sum of its proper divisors (468124538067).

1006263530541 is a wasteful number, since it uses less digits than its factorization.

1006263530541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1006263530541 in words is "one trillion, six billion, two hundred sixty-three million, five hundred thirty thousand, five hundred forty-one".