540101625 has 64 divisors (see below), whose sum is σ = 1044266496. Its totient is φ = 242784000.

The previous prime is 540101609. The next prime is 540101659. The reversal of 540101625 is 526101045.

It is not a de Polignac number, because 540101625 - 2⁴ = 540101609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540101595 and 540101604.

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, 158439 + ... + 161811.

It is an arithmetic number, because the mean of its divisors is an integer number (16316664).

Almost surely, 2^540101625 is an apocalyptic number.

It is an amenable number.

540101625 is a deficient number, since it is larger than the sum of its proper divisors (504164871).

540101625 is a wasteful number, since it uses less digits than its factorization.

540101625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 540101625 is about 23240.0865962242. The cubic root of 540101625 is about 814.3763656058.

The spelling of 540101625 in words is "five hundred forty million, one hundred one thousand, six hundred twenty-five".