525423140325504 has 256 divisors, whose sum is σ = 1638413535600000. Its totient is φ = 165306276900864.

The previous prime is 525423140325493. The next prime is 525423140325547. The reversal of 525423140325504 is 405523041324525.

525423140325504 is a `hidden beast` number, since 5 + 2 + 5 + 4 + 2 + 314 + 0 + 325 + 5 + 0 + 4 = 666.

It is a super-3 number, since 3×525423140325504³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 525423140325504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2790582 + ... + 32536650.

Almost surely, 2^{525423140325504} is an apocalyptic number.

525423140325504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525423140325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819206767800000).

525423140325504 is an abundant number, since it is smaller than the sum of its proper divisors (1112990395274496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

525423140325504 is a wasteful number, since it uses less digits than its factorization.

525423140325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29746380 (or 29746362 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 525423140325504 in words is "five hundred twenty-five trillion, four hundred twenty-three billion, one hundred forty million, three hundred twenty-five thousand, five hundred four".