431001011 has 12 divisors (see below), whose sum is σ = 507719520. Its totient is φ = 364749840.

The previous prime is 431000993. The next prime is 431001013. The reversal of 431001011 is 110100134.

It is not a de Polignac number, because 431001011 - 2²⁶ = 363892147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 431000983 and 431001001.

It is not an unprimeable number, because it can be changed into a prime (431001013) 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, 51800 + ... + 59541.

It is an arithmetic number, because the mean of its divisors is an integer number (42309960).

Almost surely, 2^431001011 is an apocalyptic number.

431001011 is a deficient number, since it is larger than the sum of its proper divisors (76718509).

431001011 is a wasteful number, since it uses less digits than its factorization.

431001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111434 (or 111427 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 431001011 is about 20760.5638410906. The cubic root of 431001011 is about 755.3694731246.

Adding to 431001011 its reverse (110100134), we get a palindrome (541101145).

The spelling of 431001011 in words is "four hundred thirty-one million, one thousand, eleven".