1006737381 has 12 divisors (see below), whose sum is σ = 1566036108. Its totient is φ = 619530624.

The previous prime is 1006737373. The next prime is 1006737409. The reversal of 1006737381 is 1837376001.

1006737381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 497513025 + 509224356 = 22305^2 + 22566^2 .

It is not a de Polignac number, because 1006737381 - 2³ = 1006737373 is a prime.

It is a super-2 number, since 2×1006737381² = 2027040308605478322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006737311) 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, 4302180 + ... + 4302413.

It is an arithmetic number, because the mean of its divisors is an integer number (130503009).

Almost surely, 2^1006737381 is an apocalyptic number.

It is an amenable number.

1006737381 is a deficient number, since it is larger than the sum of its proper divisors (559298727).

1006737381 is a wasteful number, since it uses less digits than its factorization.

1006737381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604612 (or 8604609 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1006737381 is about 31729.1251218813. The cubic root of 1006737381 is about 1002.2407688712.

The spelling of 1006737381 in words is "one billion, six million, seven hundred thirty-seven thousand, three hundred eighty-one".