41513655001 has 27 divisors (see below), whose sum is σ = 52315230591. Its totient is φ = 32831298864.

The previous prime is 41513654953. The next prime is 41513655013. The reversal of 41513655001 is 10055631514.

It is a happy number.

The square root of 41513655001 is 203749.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6141073225 + 35372581776 = 78365^2 + 188076^2 .

It is not a de Polignac number, because 41513655001 - 2¹¹ = 41513652953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41513655061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18540040 + ... + 18542278.

It is an arithmetic number, because the mean of its divisors is an integer number (1937601133).

Almost surely, 2^41513655001 is an apocalyptic number.

41513655001 is the 203749-th square number.

41513655001 is the 101875-th centered octagonal number.

It is an amenable number.

41513655001 is a deficient number, since it is larger than the sum of its proper divisors (10801575590).

41513655001 is an frugal number, since it uses more digits than its factorization.

41513655001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 41513655001 in words is "forty-one billion, five hundred thirteen million, six hundred fifty-five thousand, one".