1006261245531 has 24 divisors (see below), whose sum is σ = 1507534778880. Its totient is φ = 646017179136.

The previous prime is 1006261245527. The next prime is 1006261245533. The reversal of 1006261245531 is 1355421626001.

1006261245531 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 2 + 612 + 4 + 5 + 5 + 31 = 666.

1006261245531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006261245531 - 2² = 1006261245527 is a prime.

It is a super-2 number, since 2×1006261245531² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1006261245533) 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, 4933206 + ... + 5133131.

It is an arithmetic number, because the mean of its divisors is an integer number (62813949120).

Almost surely, 2^{1006261245531} is an apocalyptic number.

1006261245531 is a deficient number, since it is larger than the sum of its proper divisors (501273533349).

1006261245531 is a wasteful number, since it uses less digits than its factorization.

1006261245531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066755 (or 10066752 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1006261245531 in words is "one trillion, six billion, two hundred sixty-one million, two hundred forty-five thousand, five hundred thirty-one".