1083506905501 has 2 divisors, whose sum is σ = 1083506905502. Its totient is φ = 1083506905500.

The previous prime is 1083506905471. The next prime is 1083506905513. The reversal of 1083506905501 is 1055096053801.

1083506905501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 858404103001 + 225102802500 = 926501^2 + 474450^2 .

It is a cyclic number.

It is not a de Polignac number, because 1083506905501 - 2⁵ = 1083506905469 is a prime.

It is a super-2 number, since 2×1083506905501² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1083506909501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 541753452750 + 541753452751.

It is an arithmetic number, because the mean of its divisors is an integer number (541753452751).

Almost surely, 2^{1083506905501} is an apocalyptic number.

It is an amenable number.

1083506905501 is a deficient number, since it is larger than the sum of its proper divisors (1).

1083506905501 is an equidigital number, since it uses as much as digits as its factorization.

1083506905501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 1083506905501 in words is "one trillion, eighty-three billion, five hundred six million, nine hundred five thousand, five hundred one".