39794265225 has 405 divisors, whose sum is σ = 90656519877. Its totient is φ = 17235504000.

The previous prime is 39794265223. The next prime is 39794265299. The reversal of 39794265225 is 52256249793.

The square root of 39794265225 is 199485.

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

39794265225 is a `hidden beast` number, since 3 + 9 + 7 + 94 + 26 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10257030729 + 29537234496 = 101277^2 + 171864^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 39794265225 - 2¹ = 39794265223 is a prime.

Its product of digits (8164800) is a multiple of the sum of its prime divisors (63).

It is not an unprimeable number, because it can be changed into a prime (39794265223) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1283685960 + ... + 1283685990.

Almost surely, 2^39794265225 is an apocalyptic number.

39794265225 is the 199485-th square number.

39794265225 is the 99743-rd centered octagonal number.

It is an amenable number.

39794265225 is an abundant number, since it is smaller than the sum of its proper divisors (50862254652).

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

39794265225 is a wasteful number, since it uses less digits than its factorization.

39794265225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 63 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 39794265225 in words is "thirty-nine billion, seven hundred ninety-four million, two hundred sixty-five thousand, two hundred twenty-five".