34536014260225 has 81 divisors (see below), whose sum is σ = 44470120324539. Its totient is φ = 26606094969600.

The previous prime is 34536014260211. The next prime is 34536014260249. The reversal of 34536014260225 is 52206241063543.

The square root of 34536014260225 is 5876735.

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

It can be written as a sum of positive squares in 13 ways, for example, as 31863417063361 + 2672597196864 = 5644769^2 + 1634808^2 .

It is not a de Polignac number, because 34536014260225 - 2⁹ = 34536014259713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 131315643444 + ... + 131315643706.

Almost surely, 2^{34536014260225} is an apocalyptic number.

34536014260225 is the 5876735-th square number.

34536014260225 is the 2938368-th centered octagonal number.

It is an amenable number.

34536014260225 is a deficient number, since it is larger than the sum of its proper divisors (9934106064314).

34536014260225 is an frugal number, since it uses more digits than its factorization.

34536014260225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 34536014260225 in words is "thirty-four trillion, five hundred thirty-six billion, fourteen million, two hundred sixty thousand, two hundred twenty-five".