525812540760 has 384 divisors, whose sum is σ = 1862162265600. Its totient is φ = 127901491200.

The previous prime is 525812540719. The next prime is 525812540821. The reversal of 525812540760 is 67045218525.

525812540760 is a `hidden beast` number, since 5 + 2 + 581 + 2 + 5 + 4 + 0 + 7 + 60 = 666.

It is a super-2 number, since 2×525812540760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407922196 + ... + 407923484.

It is an arithmetic number, because the mean of its divisors is an integer number (4849380900).

Almost surely, 2^525812540760 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 525812540760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931081132800).

525812540760 is an abundant number, since it is smaller than the sum of its proper divisors (1336349724840).

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

525812540760 is a wasteful number, since it uses less digits than its factorization.

525812540760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 525812540760 in words is "five hundred twenty-five billion, eight hundred twelve million, five hundred forty thousand, seven hundred sixty".