7835132610001 has 2 divisors, whose sum is σ = 7835132610002. Its totient is φ = 7835132610000.

The previous prime is 7835132609999. The next prime is 7835132610017. The reversal of 7835132610001 is 1000162315387.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6771757107600 + 1063375502401 = 2602260^2 + 1031201^2 .

It is a cyclic number.

It is not a de Polignac number, because 7835132610001 - 2¹ = 7835132609999 is a prime.

It is a super-2 number, since 2×7835132610001² (a number of 27 digits) contains 22 as substring.

Together with 7835132609999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (7835132310001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3917566305000 + 3917566305001.

It is an arithmetic number, because the mean of its divisors is an integer number (3917566305001).

Almost surely, 2^{7835132610001} is an apocalyptic number.

It is an amenable number.

7835132610001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7835132610001 is an equidigital number, since it uses as much as digits as its factorization.

7835132610001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

Adding to 7835132610001 its reverse (1000162315387), we get a palindrome (8835294925388).

The spelling of 7835132610001 in words is "seven trillion, eight hundred thirty-five billion, one hundred thirty-two million, six hundred ten thousand, one".