58901010000001 has 8 divisors (see below), whose sum is σ = 63444166689960. Its totient is φ = 54359611848192.

The previous prime is 58901009999941. The next prime is 58901010000071. The reversal of 58901010000001 is 10000001010985.

It can be written as a sum of positive squares in 4 ways, for example, as 1820945131776 + 57080064868225 = 1349424^2 + 7555135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58901010000001 - 2³¹ = 58898862516353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58901010000071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439564966 + ... + 439698943.

It is an arithmetic number, because the mean of its divisors is an integer number (7930520836245).

Almost surely, 2^{58901010000001} is an apocalyptic number.

It is an amenable number.

58901010000001 is a deficient number, since it is larger than the sum of its proper divisors (4543156689959).

58901010000001 is a wasteful number, since it uses less digits than its factorization.

58901010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879269075.

The product of its (nonzero) digits is 360, while the sum is 25.

Adding to 58901010000001 its reverse (10000001010985), we get a palindrome (68901011010986).

The spelling of 58901010000001 in words is "fifty-eight trillion, nine hundred one billion, ten million, one", and thus it is an aban number.