1010413305 has 64 divisors (see below), whose sum is σ = 1978214400. Its totient is φ = 485242560.

The previous prime is 1010413303. The next prime is 1010413319. The reversal of 1010413305 is 5033140101.

It is not a de Polignac number, because 1010413305 - 2¹ = 1010413303 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010413303) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 155716 + ... + 162074.

It is an arithmetic number, because the mean of its divisors is an integer number (30909600).

Almost surely, 2^1010413305 is an apocalyptic number.

1010413305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010413305 is a deficient number, since it is larger than the sum of its proper divisors (967801095).

1010413305 is a wasteful number, since it uses less digits than its factorization.

1010413305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6491 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1010413305 is about 31786.9989932991. The cubic root of 1010413305 is about 1003.4591223425.

Adding to 1010413305 its reverse (5033140101), we get a palindrome (6043553406).

It can be divided in two parts, 10104 and 13305, that added together give a square (23409 = 153²).

The spelling of 1010413305 in words is "one billion, ten million, four hundred thirteen thousand, three hundred five".