1005211334153 has 32 divisors (see below), whose sum is σ = 1123570516992. Its totient is φ = 893424168000.

The previous prime is 1005211334119. The next prime is 1005211334159. The reversal of 1005211334153 is 3514331125001.

It is not a de Polignac number, because 1005211334153 - 2⁶ = 1005211334089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005211334159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11012126 + ... + 11103032.

It is an arithmetic number, because the mean of its divisors is an integer number (35111578656).

Almost surely, 2^{1005211334153} is an apocalyptic number.

1005211334153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005211334153 is a deficient number, since it is larger than the sum of its proper divisors (118359182839).

1005211334153 is a wasteful number, since it uses less digits than its factorization.

1005211334153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91245.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 1005211334153 its reverse (3514331125001), we get a palindrome (4519542459154).

The spelling of 1005211334153 in words is "one trillion, five billion, two hundred eleven million, three hundred thirty-four thousand, one hundred fifty-three".