1006344513 has 16 divisors (see below), whose sum is σ = 1492344000. Its totient is φ = 670237920.

The previous prime is 1006344503. The next prime is 1006344527. The reversal of 1006344513 is 3154436001.

1006344513 is a `hidden beast` number, since 10 + 0 + 634 + 4 + 5 + 13 = 666.

It is not a de Polignac number, because 1006344513 - 2⁴ = 1006344497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1006344503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10558 + ... + 46088.

It is an arithmetic number, because the mean of its divisors is an integer number (93271500).

Almost surely, 2^1006344513 is an apocalyptic number.

It is an amenable number.

1006344513 is a deficient number, since it is larger than the sum of its proper divisors (485999487).

1006344513 is a wasteful number, since it uses less digits than its factorization.

1006344513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36589 (or 36583 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1006344513 is about 31722.9335497208. The cubic root of 1006344513 is about 1002.1103808264.

The spelling of 1006344513 in words is "one billion, six million, three hundred forty-four thousand, five hundred thirteen".