1005251551413 has 16 divisors (see below), whose sum is σ = 1376785412736. Its totient is φ = 651948609600.

The previous prime is 1005251551399. The next prime is 1005251551463. The reversal of 1005251551413 is 3141551525001.

It is a happy number.

It is not a de Polignac number, because 1005251551413 - 2¹⁶ = 1005251485877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005251551463) 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 15 ways as a sum of consecutive naturals, for example, 53406 + ... + 1418927.

It is an arithmetic number, because the mean of its divisors is an integer number (86049088296).

Almost surely, 2^{1005251551413} is an apocalyptic number.

It is an amenable number.

1005251551413 is a deficient number, since it is larger than the sum of its proper divisors (371533861323).

1005251551413 is a wasteful number, since it uses less digits than its factorization.

1005251551413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478524.

The product of its (nonzero) digits is 15000, while the sum is 33.

The spelling of 1005251551413 in words is "one trillion, five billion, two hundred fifty-one million, five hundred fifty-one thousand, four hundred thirteen".