1006631790552 has 48 divisors (see below), whose sum is σ = 2741525163000. Its totient is φ = 333669378816.

The previous prime is 1006631790551. The next prime is 1006631790557. The reversal of 1006631790552 is 2550971366001.

1006631790552 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 6 + 3 + 1 + 7 + 90 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1006631790498 and 1006631790507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006631790551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39040177 + ... + 39065952.

Almost surely, 2^{1006631790552} is an apocalyptic number.

1006631790552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006631790552 is an abundant number, since it is smaller than the sum of its proper divisors (1734893372448).

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

1006631790552 is a wasteful number, since it uses less digits than its factorization.

1006631790552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78106320 (or 78106313 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 1006631790552 in words is "one trillion, six billion, six hundred thirty-one million, seven hundred ninety thousand, five hundred fifty-two".