413205150033501 has 64 divisors (see below), whose sum is σ = 672170036428800. Its totient is φ = 225457030888320.

The previous prime is 413205150033433. The next prime is 413205150033517. The reversal of 413205150033501 is 105330051502314.

It is not a de Polignac number, because 413205150033501 - 2¹⁴ = 413205150017117 is a prime.

It is a super-2 number, since 2×413205150033501² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413205150033601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102210141 + ... + 106175906.

It is an arithmetic number, because the mean of its divisors is an integer number (10502656819200).

Almost surely, 2^{413205150033501} is an apocalyptic number.

413205150033501 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413205150033501 is a deficient number, since it is larger than the sum of its proper divisors (258964886395299).

413205150033501 is a wasteful number, since it uses less digits than its factorization.

413205150033501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208386159 (or 208386145 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 413205150033501 in words is "four hundred thirteen trillion, two hundred five billion, one hundred fifty million, thirty-three thousand, five hundred one".