35080915401 has 63 divisors (see below), whose sum is σ = 61246430973. Its totient is φ = 20026009080.

The previous prime is 35080915379. The next prime is 35080915417. The reversal of 35080915401 is 10451908053.

The square root of 35080915401 is 187299.

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

35080915401 is a `hidden beast` number, since 35 + 0 + 80 + 9 + 1 + 540 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is a de Polignac number, because none of the positive numbers 2^k-35080915401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35080916401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 35399016 + ... + 35400006.

It is an arithmetic number, because the mean of its divisors is an integer number (972165571).

Almost surely, 2^35080915401 is an apocalyptic number.

35080915401 is the 187299-th square number.

35080915401 is the 93650-th centered octagonal number.

It is an amenable number.

35080915401 is a deficient number, since it is larger than the sum of its proper divisors (26165515572).

35080915401 is an frugal number, since it uses more digits than its factorization.

35080915401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 35080915401 by its sum of digits (36), we get a square (1262912954436 = 1123794²).

The spelling of 35080915401 in words is "thirty-five billion, eighty million, nine hundred fifteen thousand, four hundred one".