541564460256625 has 64 divisors (see below), whose sum is σ = 728906674728960. Its totient is φ = 399351154713600.

The previous prime is 541564460256619. The next prime is 541564460256637. The reversal of 541564460256625 is 526652064465145.

It is a happy number.

It is not a de Polignac number, because 541564460256625 - 2²³ = 541564451868017 is a prime.

It is a super-2 number, since 2×541564460256625² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4841522697 + ... + 4841634553.

It is an arithmetic number, because the mean of its divisors is an integer number (11389166792640).

Almost surely, 2^{541564460256625} is an apocalyptic number.

It is an amenable number.

541564460256625 is a deficient number, since it is larger than the sum of its proper divisors (187342214472335).

541564460256625 is a wasteful number, since it uses less digits than its factorization.

541564460256625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116131 (or 116121 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 61.

The spelling of 541564460256625 in words is "five hundred forty-one trillion, five hundred sixty-four billion, four hundred sixty million, two hundred fifty-six thousand, six hundred twenty-five".