35790964225 has 27 divisors (see below), whose sum is σ = 44851378491. Its totient is φ = 28332345600.

The previous prime is 35790964207. The next prime is 35790964243. The reversal of 35790964225 is 52246909753.

The square root of 35790964225 is 189185.

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

It is an interprime number because it is at equal distance from previous prime (35790964207) and next prime (35790964243).

It can be written as a sum of positive squares in 13 ways, for example, as 21134472129 + 14656492096 = 145377^2 + 121064^2 .

It is not a de Polignac number, because 35790964225 - 2⁵ = 35790964193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148510105 + ... + 148510345.

Almost surely, 2^35790964225 is an apocalyptic number.

35790964225 is the 189185-th square number.

35790964225 is the 94593-rd centered octagonal number.

It is an amenable number.

35790964225 is a deficient number, since it is larger than the sum of its proper divisors (9060414266).

35790964225 is an frugal number, since it uses more digits than its factorization.

35790964225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 52.

The spelling of 35790964225 in words is "thirty-five billion, seven hundred ninety million, nine hundred sixty-four thousand, two hundred twenty-five".