1006401231 has 24 divisors (see below), whose sum is σ = 1603676880. Its totient is φ = 603081600.

The previous prime is 1006401229. The next prime is 1006401247. The reversal of 1006401231 is 1321046001.

It is a happy number.

1006401231 is a `hidden beast` number, since 1 + 0 + 0 + 640 + 1 + 23 + 1 = 666.

It is not a de Polignac number, because 1006401231 - 2¹ = 1006401229 is a prime.

It is a super-2 number, since 2×1006401231² = 2025686875516630722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006401281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48300 + ... + 65921.

It is an arithmetic number, because the mean of its divisors is an integer number (66819870).

Almost surely, 2^1006401231 is an apocalyptic number.

1006401231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1006401231 is a deficient number, since it is larger than the sum of its proper divisors (597275649).

1006401231 is a wasteful number, since it uses less digits than its factorization.

1006401231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114327 (or 114324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1006401231 is about 31723.8274960636. The cubic root of 1006401231 is about 1002.1292069269.

Adding to 1006401231 its reverse (1321046001), we get a palindrome (2327447232).

The spelling of 1006401231 in words is "one billion, six million, four hundred one thousand, two hundred thirty-one".