3523116113253 has 36 divisors (see below), whose sum is σ = 5922671649804. Its totient is φ = 2009620588800.

The previous prime is 3523116113227. The next prime is 3523116113267.

3523116113253 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 1 + 1 + 611 + 32 + 5 + 3 = 666.

3523116113253 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2085462356769 + 1437653756484 = 1444113^2 + 1199022^2 .

It is not a de Polignac number, because 3523116113253 - 2⁹ = 3523116112741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3523116113653) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95133978 + ... + 95171003.

It is an arithmetic number, because the mean of its divisors is an integer number (164518656939).

Almost surely, 2^{3523116113253} is an apocalyptic number.

3523116113253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3523116113253 is a deficient number, since it is larger than the sum of its proper divisors (2399555536551).

3523116113253 is a wasteful number, since it uses less digits than its factorization.

3523116113253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190305026 (or 190305012 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 3523116113253 in words is "three trillion, five hundred twenty-three billion, one hundred sixteen million, one hundred thirteen thousand, two hundred fifty-three".