90500613129 has 24 divisors (see below), whose sum is σ = 135236205000. Its totient is φ = 58274581248.

The previous prime is 90500613121. The next prime is 90500613169. The reversal of 90500613129 is 92131600509.

90500613129 is a `hidden beast` number, since 90 + 500 + 61 + 3 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42551438400 + 47949174729 = 206280^2 + 218973^2 .

It is not a de Polignac number, because 90500613129 - 2³ = 90500613121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90500613093 and 90500613102.

It is not an unprimeable number, because it can be changed into a prime (90500613121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 946254 + ... + 1037495.

It is an arithmetic number, because the mean of its divisors is an integer number (5634841875).

Almost surely, 2^90500613129 is an apocalyptic number.

It is an amenable number.

90500613129 is a deficient number, since it is larger than the sum of its proper divisors (44735591871).

90500613129 is a wasteful number, since it uses less digits than its factorization.

90500613129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983929 (or 1983926 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 90500613129 in words is "ninety billion, five hundred million, six hundred thirteen thousand, one hundred twenty-nine".