527505025000 has 96 divisors (see below), whose sum is σ = 1259589615480. Its totient is φ = 207020320000.

The previous prime is 527505024983. The next prime is 527505025051. The reversal of 527505025000 is 520505725.

It can be written as a sum of positive squares in 12 ways, for example, as 67519943716 + 459985081284 = 259846^2 + 678222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125942 + ... + 1524058.

Almost surely, 2^527505025000 is an apocalyptic number.

527505025000 is a gapful number since it is divisible by the number (50) 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 527505025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629794807740).

527505025000 is an abundant number, since it is smaller than the sum of its proper divisors (732084590480).

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

527505025000 is an equidigital number, since it uses as much as digits as its factorization.

527505025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398201 (or 398177 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 31.

The spelling of 527505025000 in words is "five hundred twenty-seven billion, five hundred five million, twenty-five thousand".