525016721520 has 720 divisors, whose sum is σ = 2006165659680. Its totient is φ = 127157796864.

The previous prime is 525016721443. The next prime is 525016721539. The reversal of 525016721520 is 25127610525.

525016721520 is a `hidden beast` number, since 5 + 2 + 50 + 1 + 67 + 21 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×525016721520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277932736 + ... + 277934624.

It is an arithmetic number, because the mean of its divisors is an integer number (2786341194).

Almost surely, 2^525016721520 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 525016721520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003082829840).

525016721520 is an abundant number, since it is smaller than the sum of its proper divisors (1481148938160).

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

525016721520 is a wasteful number, since it uses less digits than its factorization.

525016721520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 525016721520 in words is "five hundred twenty-five billion, sixteen million, seven hundred twenty-one thousand, five hundred twenty".