105513001537 has 2 divisors, whose sum is σ = 105513001538. Its totient is φ = 105513001536.

The previous prime is 105513001493. The next prime is 105513001571. The reversal of 105513001537 is 735100315501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105056367376 + 456634161 = 324124^2 + 21369^2 .

It is a cyclic number.

It is not a de Polignac number, because 105513001537 - 2³¹ = 103365517889 is a prime.

It is a super-2 number, since 2×105513001537² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105513001499 and 105513001508.

It is not a weakly prime, because it can be changed into another prime (105513001637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52756500768 + 52756500769.

It is an arithmetic number, because the mean of its divisors is an integer number (52756500769).

Almost surely, 2^105513001537 is an apocalyptic number.

It is an amenable number.

105513001537 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513001537 is an equidigital number, since it uses as much as digits as its factorization.

105513001537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7875, while the sum is 31.

The spelling of 105513001537 in words is "one hundred five billion, five hundred thirteen million, one thousand, five hundred thirty-seven".