511961001 has 32 divisors (see below), whose sum is σ = 755712000. Its totient is φ = 306858240.

The previous prime is 511960993. The next prime is 511961011. The reversal of 511961001 is 100169115.

It is not a de Polignac number, because 511961001 - 2³ = 511960993 is a prime.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (511961011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122850 + ... + 126948.

It is an arithmetic number, because the mean of its divisors is an integer number (23616000).

Almost surely, 2^511961001 is an apocalyptic number.

511961001 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

511961001 is a deficient number, since it is larger than the sum of its proper divisors (243750999).

511961001 is a wasteful number, since it uses less digits than its factorization.

511961001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229.

The product of its (nonzero) digits is 270, while the sum is 24.

The square root of 511961001 is about 22626.5552172663. Note that the first 3 decimals coincide. The cubic root of 511961001 is about 799.9796875051.

The spelling of 511961001 in words is "five hundred eleven million, nine hundred sixty-one thousand, one".