83951100001 has 16 divisors (see below), whose sum is σ = 85710206160. Its totient is φ = 82205061120.

The previous prime is 83951099987. The next prime is 83951100011. The reversal of 83951100001 is 10000115938.

It can be written as a sum of positive squares in 8 ways, for example, as 70126984225 + 13824115776 = 264815^2 + 117576^2 .

It is a cyclic number.

It is not a de Polignac number, because 83951100001 - 2⁹ = 83951099489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83951100011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17735031 + ... + 17739763.

It is an arithmetic number, because the mean of its divisors is an integer number (5356887885).

Almost surely, 2^83951100001 is an apocalyptic number.

It is an amenable number.

83951100001 is a deficient number, since it is larger than the sum of its proper divisors (1759106159).

83951100001 is a wasteful number, since it uses less digits than its factorization.

83951100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036.

The product of its (nonzero) digits is 1080, while the sum is 28.

Adding to 83951100001 its reverse (10000115938), we get a palindrome (93951215939).

The spelling of 83951100001 in words is "eighty-three billion, nine hundred fifty-one million, one hundred thousand, one".