35055410819121 has 405 divisors, whose sum is σ = 69317192728329. Its totient is φ = 17009162200800.

The previous prime is 35055410819081. The next prime is 35055410819147. The reversal of 35055410819121 is 12191801455053.

The square root of 35055410819121 is 5920761.

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

35055410819121 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 541 + 0 + 81 + 9 + 1 + 21 = 666.

It is not a de Polignac number, because 35055410819121 - 2⁹ = 35055410818609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35055410419121) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 493738180516 + ... + 493738180586.

Almost surely, 2^{35055410819121} is an apocalyptic number.

35055410819121 is the 5920761-st square number.

35055410819121 is the 2960381-st centered octagonal number.

It is an amenable number.

35055410819121 is a deficient number, since it is larger than the sum of its proper divisors (34261781909208).

35055410819121 is an frugal number, since it uses more digits than its factorization.

35055410819121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 35055410819121 in words is "thirty-five trillion, fifty-five billion, four hundred ten million, eight hundred nineteen thousand, one hundred twenty-one".