1035662405625 has 75 divisors (see below), whose sum is σ = 1933684470553. Its totient is φ = 552231162000.

The previous prime is 1035662405623. The next prime is 1035662405639. The reversal of 1035662405625 is 5265042665301.

The square root of 1035662405625 is 1017675.

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

1035662405625 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 66 + 24 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81195932601 + 954466473024 = 284949^2 + 976968^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 1035662405625 - 2¹ = 1035662405623 is a prime.

It is a super-3 number, since 3×1035662405625³ (a number of 37 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1035662405623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 228974614 + ... + 228979136.

Almost surely, 2^{1035662405625} is an apocalyptic number.

1035662405625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1035662405625 is the 1017675-th square number.

1035662405625 is the 508838-th centered octagonal number.

It is an amenable number.

1035662405625 is a deficient number, since it is larger than the sum of its proper divisors (898022064928).

1035662405625 is an frugal number, since it uses more digits than its factorization.

1035662405625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 1035662405625 in words is "one trillion, thirty-five billion, six hundred sixty-two million, four hundred five thousand, six hundred twenty-five".