1006401331 has 4 divisors (see below), whose sum is σ = 1083816832. Its totient is φ = 928985832.

The previous prime is 1006401313. The next prime is 1006401373. The reversal of 1006401331 is 1331046001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1331046001 = 7561 ⋅176041.

It is a cyclic number.

It is not a de Polignac number, because 1006401331 - 2¹⁵ = 1006368563 is a prime.

It is a super-2 number, since 2×1006401331² = 2025687278077143122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006401299 and 1006401308.

It is not an unprimeable number, because it can be changed into a prime (1006401631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38707731 + ... + 38707756.

It is an arithmetic number, because the mean of its divisors is an integer number (270954208).

Almost surely, 2^1006401331 is an apocalyptic number.

1006401331 is a deficient number, since it is larger than the sum of its proper divisors (77415501).

1006401331 is an equidigital number, since it uses as much as digits as its factorization.

1006401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77415500.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1006401331 is about 31723.8290721659. The cubic root of 1006401331 is about 1002.1292401188.

Adding to 1006401331 its reverse (1331046001), we get a palindrome (2337447332).

The spelling of 1006401331 in words is "one billion, six million, four hundred one thousand, three hundred thirty-one".