542400120525 has 24 divisors (see below), whose sum is σ = 896991829920. Its totient is φ = 289207925440.

The previous prime is 542400120517. The next prime is 542400120527. The reversal of 542400120525 is 525021004245.

It is not a de Polignac number, because 542400120525 - 2³ = 542400120517 is a prime.

It is a super-3 number, since 3×542400120525³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542400120492 and 542400120501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542400120527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598302 + ... + 1201151.

It is an arithmetic number, because the mean of its divisors is an integer number (37374659580).

Almost surely, 2^542400120525 is an apocalyptic number.

It is an amenable number.

542400120525 is a deficient number, since it is larger than the sum of its proper divisors (354591709395).

542400120525 is a wasteful number, since it uses less digits than its factorization.

542400120525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803485 (or 1803480 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 542400120525 in words is "five hundred forty-two billion, four hundred million, one hundred twenty thousand, five hundred twenty-five".