1068525353025 has 567 divisors, whose sum is σ = 2345887438137. Its totient is φ = 482280739200.

The previous prime is 1068525353011. The next prime is 1068525353029. The reversal of 1068525353025 is 5203535258601.

The square root of 1068525353025 is 1033695.

It is a perfect power (a square), and thus also a powerful number.

1068525353025 is a `hidden beast` number, since 1 + 0 + 6 + 85 + 2 + 535 + 30 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275413990401 + 793111362624 = 524799^2 + 890568^2 .

It is not a de Polignac number, because 1068525353025 - 2²⁵ = 1068491798593 is a prime.

It is a super-2 number, since 2×1068525353025² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1068525353029) by changing a digit.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 34468559760 + ... + 34468559790.

Almost surely, 2^{1068525353025} is an apocalyptic number.

1068525353025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1068525353025 is the 1033695-th square number.

1068525353025 is the 516848-th centered octagonal number.

It is an amenable number.

1068525353025 is an abundant number, since it is smaller than the sum of its proper divisors (1277362085112).

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

1068525353025 is an equidigital number, since it uses as much as digits as its factorization.

1068525353025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 1068525353025 in words is "one trillion, sixty-eight billion, five hundred twenty-five million, three hundred fifty-three thousand, twenty-five".