901333032041 has 24 divisors (see below), whose sum is σ = 980463261960. Its totient is φ = 823664056320.

The previous prime is 901333032037. The next prime is 901333032109. The reversal of 901333032041 is 140230333109.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82346041600 + 818986990441 = 286960^2 + 904979^2 .

It is not a de Polignac number, because 901333032041 - 2² = 901333032037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 901333031995 and 901333032013.

It is not an unprimeable number, because it can be changed into a prime (901333032011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111699155 + ... + 111707223.

It is an arithmetic number, because the mean of its divisors is an integer number (40852635915).

Almost surely, 2^901333032041 is an apocalyptic number.

It is an amenable number.

901333032041 is a deficient number, since it is larger than the sum of its proper divisors (79130229919).

901333032041 is a wasteful number, since it uses less digits than its factorization.

901333032041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 901333032041 in words is "nine hundred one billion, three hundred thirty-three million, thirty-two thousand, forty-one".