401053101 has 24 divisors (see below), whose sum is σ = 558915552. Its totient is φ = 255614400.

The previous prime is 401053099. The next prime is 401053109. The reversal of 401053101 is 101350104.

It is not a de Polignac number, because 401053101 - 2¹ = 401053099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401053109) 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 23 ways as a sum of consecutive naturals, for example, 412546 + ... + 413516.

It is an arithmetic number, because the mean of its divisors is an integer number (23288148).

Almost surely, 2^401053101 is an apocalyptic number.

It is an amenable number.

401053101 is a deficient number, since it is larger than the sum of its proper divisors (157862451).

401053101 is an equidigital number, since it uses as much as digits as its factorization.

401053101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 401053101 is about 20026.3102193090. The cubic root of 401053101 is about 737.4523426448.

The spelling of 401053101 in words is "four hundred one million, fifty-three thousand, one hundred one".