1035088516449 has 81 divisors (see below), whose sum is σ = 1709924432697. Its totient is φ = 603012900672.

The previous prime is 1035088516439. The next prime is 1035088516463. The reversal of 1035088516449 is 9446158805301.

It is a happy number.

The square root of 1035088516449 is 1017393.

It is a perfect power (a square), and thus also a powerful number.

1035088516449 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 0 + 88 + 516 + 4 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82824810849 + 952263705600 = 287793^2 + 975840^2 .

It is not a de Polignac number, because 1035088516449 - 2³⁵ = 1000728778081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1035088516395 and 1035088516404.

It is not an unprimeable number, because it can be changed into a prime (1035088516439) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 753887527 + ... + 753888899.

Almost surely, 2^{1035088516449} is an apocalyptic number.

1035088516449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1035088516449 is the 1017393-rd square number.

1035088516449 is the 508697-th centered octagonal number.

It is an amenable number.

1035088516449 is a deficient number, since it is larger than the sum of its proper divisors (674835916248).

1035088516449 is an equidigital number, since it uses as much as digits as its factorization.

1035088516449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1035088516449 in words is "one trillion, thirty-five billion, eighty-eight million, five hundred sixteen thousand, four hundred forty-nine".