65415735225 has 135 divisors (see below), whose sum is σ = 126635448043. Its totient is φ = 32279589120.

The previous prime is 65415735197. The next prime is 65415735241. The reversal of 65415735225 is 52253751456.

It is a happy number.

The square root of 65415735225 is 255765.

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

65415735225 is a `hidden beast` number, since 6 + 5 + 4 + 1 + 573 + 52 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7128256041 + 58287479184 = 84429^2 + 241428^2 .

It is not a de Polignac number, because 65415735225 - 2¹⁷ = 65415604153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (1260000) is a multiple of the sum of its prime divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1108741246 + ... + 1108741304.

Almost surely, 2^65415735225 is an apocalyptic number.

65415735225 is the 255765-th square number.

65415735225 is the 127883-rd centered octagonal number.

It is an amenable number.

65415735225 is a deficient number, since it is larger than the sum of its proper divisors (61219712818).

65415735225 is an frugal number, since it uses more digits than its factorization.

65415735225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 84 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The spelling of 65415735225 in words is "sixty-five billion, four hundred fifteen million, seven hundred thirty-five thousand, two hundred twenty-five".