525190671000648 has 384 divisors, whose sum is σ = 1561241027174400. Its totient is φ = 158876640000000.

The previous prime is 525190671000641. The next prime is 525190671000701. The reversal of 525190671000648 is 846000176091525.

It is a happy number.

525190671000648 is a `hidden beast` number, since 5 + 2 + 519 + 0 + 67 + 1 + 0 + 0 + 0 + 64 + 8 = 666.

It is a super-2 number, since 2×525190671000648² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 525190671000594 and 525190671000603.

It is not an unprimeable number, because it can be changed into a prime (525190671000641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227616773 + ... + 2227852523.

It is an arithmetic number, because the mean of its divisors is an integer number (4065731841600).

Almost surely, 2^{525190671000648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525190671000648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780620513587200).

525190671000648 is an abundant number, since it is smaller than the sum of its proper divisors (1036050356173752).

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

525190671000648 is a wasteful number, since it uses less digits than its factorization.

525190671000648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236345 (or 236338 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 525190671000648 in words is "five hundred twenty-five trillion, one hundred ninety billion, six hundred seventy-one million, six hundred forty-eight", and thus it is an aban number.