1006900461 has 36 divisors (see below), whose sum is σ = 1715097852. Its totient is φ = 567471744.

The previous prime is 1006900439. The next prime is 1006900481. The reversal of 1006900461 is 1640096001.

It can be written as a sum of positive squares in 2 ways, for example, as 578162025 + 428738436 = 24045^2 + 20706^2 .

It is not a de Polignac number, because 1006900461 - 2⁶ = 1006900397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006900481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16555 + ... + 47831.

It is an arithmetic number, because the mean of its divisors is an integer number (47641607).

Almost surely, 2^1006900461 is an apocalyptic number.

It is an amenable number.

1006900461 is a deficient number, since it is larger than the sum of its proper divisors (708197391).

1006900461 is a wasteful number, since it uses less digits than its factorization.

1006900461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31370 (or 31360 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1006900461 is about 31731.6948964281. The cubic root of 1006900461 is about 1002.2948831493.

Adding to 1006900461 its reverse (1640096001), we get a palindrome (2646996462).

The spelling of 1006900461 in words is "one billion, six million, nine hundred thousand, four hundred sixty-one".