1005300235401 has 64 divisors (see below), whose sum is σ = 1745421336576. Its totient is φ = 499065652800.

The previous prime is 1005300235399. The next prime is 1005300235427. The reversal of 1005300235401 is 1045320035001.

It is not a de Polignac number, because 1005300235401 - 2¹ = 1005300235399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005300235481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5688196 + ... + 5862266.

It is an arithmetic number, because the mean of its divisors is an integer number (27272208384).

Almost surely, 2^{1005300235401} is an apocalyptic number.

1005300235401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005300235401 is a deficient number, since it is larger than the sum of its proper divisors (740121101175).

1005300235401 is a wasteful number, since it uses less digits than its factorization.

1005300235401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175202.

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 1005300235401 in words is "one trillion, five billion, three hundred million, two hundred thirty-five thousand, four hundred one".