35585397225 has 96 divisors (see below), whose sum is σ = 75257207040. Its totient is φ = 16148574720.

The previous prime is 35585397223. The next prime is 35585397229. The reversal of 35585397225 is 52279358553.

It is a happy number.

35585397225 is a `hidden beast` number, since 3 + 5 + 585 + 39 + 7 + 2 + 25 = 666.

It is not a de Polignac number, because 35585397225 - 2¹ = 35585397223 is a prime.

It is a super-2 number, since 2×35585397225² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (35585397223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 619839 + ... + 674811.

It is an arithmetic number, because the mean of its divisors is an integer number (783929240).

Almost surely, 2^35585397225 is an apocalyptic number.

35585397225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35585397225 is an abundant number, since it is smaller than the sum of its proper divisors (39671809815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35585397225 is a wasteful number, since it uses less digits than its factorization.

35585397225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55136 (or 55125 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 35585397225 in words is "thirty-five billion, five hundred eighty-five million, three hundred ninety-seven thousand, two hundred twenty-five".