525673338011136 has 480 divisors, whose sum is σ = 1743655515833088. Its totient is φ = 149345290321920.

The previous prime is 525673338011119. The next prime is 525673338011137. The reversal of 525673338011136 is 631110833376525.

525673338011136 is a `hidden beast` number, since 5 + 2 + 56 + 73 + 3 + 380 + 11 + 136 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525673338011137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7643121580 + ... + 7643190356.

Almost surely, 2^{525673338011136} is an apocalyptic number.

525673338011136 is a gapful number since it is divisible by the number (56) 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 525673338011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871827757916544).

525673338011136 is an abundant number, since it is smaller than the sum of its proper divisors (1217982177821952).

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

525673338011136 is a wasteful number, since it uses less digits than its factorization.

525673338011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70142 (or 70123 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 525673338011136 in words is "five hundred twenty-five trillion, six hundred seventy-three billion, three hundred thirty-eight million, eleven thousand, one hundred thirty-six".