1012713405 has 32 divisors (see below), whose sum is σ = 1769482368. Its totient is φ = 490502400.

The previous prime is 1012713353. The next prime is 1012713413. The reversal of 1012713405 is 5043172101.

It is not a de Polignac number, because 1012713405 - 2¹⁰ = 1012712381 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192267 + ... + 197463.

It is an arithmetic number, because the mean of its divisors is an integer number (55296324).

Almost surely, 2^1012713405 is an apocalyptic number.

1012713405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012713405 is a deficient number, since it is larger than the sum of its proper divisors (756768963).

1012713405 is a wasteful number, since it uses less digits than its factorization.

1012713405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1012713405 is about 31823.1583127759. The cubic root of 1012713405 is about 1004.2199684827.

Adding to 1012713405 its reverse (5043172101), we get a palindrome (6055885506).

It can be divided in two parts, 10127 and 13405, that added together give a palindrome (23532).

The spelling of 1012713405 in words is "one billion, twelve million, seven hundred thirteen thousand, four hundred five".