1005140355351 has 8 divisors (see below), whose sum is σ = 1462022335104. Its totient is φ = 609175972920.

The previous prime is 1005140355293. The next prime is 1005140355371. The reversal of 1005140355351 is 1535530415001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1005140355351 - 2⁹ = 1005140354839 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 30458798647 = 1005140355351 / (1 + 0 + 0 + 5 + 1 + 4 + 0 + 3 + 5 + 5 + 3 + 5 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005140355371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15229399291 + ... + 15229399356.

It is an arithmetic number, because the mean of its divisors is an integer number (182752791888).

Almost surely, 2^{1005140355351} is an apocalyptic number.

1005140355351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005140355351 is a deficient number, since it is larger than the sum of its proper divisors (456881979753).

1005140355351 is a wasteful number, since it uses less digits than its factorization.

1005140355351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30458798661.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 1005140355351 in words is "one trillion, five billion, one hundred forty million, three hundred fifty-five thousand, three hundred fifty-one".