1006056051060 has 48 divisors (see below), whose sum is σ = 2817257155776. Its totient is φ = 268253021952.

The previous prime is 1006056051037. The next prime is 1006056051067. The reversal of 1006056051060 is 601506506001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006056051067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322794 + ... + 1454753.

It is an arithmetic number, because the mean of its divisors is an integer number (58692857412).

Almost surely, 2^{1006056051060} is an apocalyptic number.

1006056051060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006056051060 is an abundant number, since it is smaller than the sum of its proper divisors (1811201104716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006056051060 is a wasteful number, since it uses less digits than its factorization.

1006056051060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786992 (or 1786990 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1006056051060 in words is "one trillion, six billion, fifty-six million, fifty-one thousand, sixty".