541564030414225 has 192 divisors, whose sum is σ = 880572624744960. Its totient is φ = 322530420326400.

The previous prime is 541564030414217. The next prime is 541564030414291. The reversal of 541564030414225 is 522414030465145.

It is not a de Polignac number, because 541564030414225 - 2³ = 541564030414217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25641011665 + ... + 25641032785.

It is an arithmetic number, because the mean of its divisors is an integer number (4586315753880).

Almost surely, 2^{541564030414225} is an apocalyptic number.

It is an amenable number.

541564030414225 is a deficient number, since it is larger than the sum of its proper divisors (339008594330735).

541564030414225 is a wasteful number, since it uses less digits than its factorization.

541564030414225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25117 (or 25086 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 541564030414225 in words is "five hundred forty-one trillion, five hundred sixty-four billion, thirty million, four hundred fourteen thousand, two hundred twenty-five".