90538696125 has 36 divisors (see below), whose sum is σ = 163229284764. Its totient is φ = 48281922000.

The previous prime is 90538696123. The next prime is 90538696201. The reversal of 90538696125 is 52169683509.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

90538696125 is a `hidden beast` number, since 9 + 0 + 538 + 6 + 96 + 12 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2897238276 + 87641457849 = 53826^2 + 296043^2 .

It is not a de Polignac number, because 90538696125 - 2¹ = 90538696123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90538696123) 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, 10087890 + ... + 10096860.

It is an arithmetic number, because the mean of its divisors is an integer number (4534146799).

Almost surely, 2^90538696125 is an apocalyptic number.

It is an amenable number.

90538696125 is a deficient number, since it is larger than the sum of its proper divisors (72690588639).

90538696125 is an frugal number, since it uses more digits than its factorization.

90538696125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17963 (or 8979 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 90538696125 in words is "ninety billion, five hundred thirty-eight million, six hundred ninety-six thousand, one hundred twenty-five".