2635145095969 has 45 divisors (see below), whose sum is σ = 2890894347901. Its totient is φ = 2401983779840.

The previous prime is 2635145095967. The next prime is 2635145095991. The reversal of 2635145095969 is 9695905415362.

The square root of 2635145095969 is 1623313.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2600656149025 + 34488946944 = 1612655^2 + 185712^2 .

It is not a de Polignac number, because 2635145095969 - 2¹ = 2635145095967 is a prime.

It is a super-2 number, since 2×2635145095969² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2635145095969.

It is not an unprimeable number, because it can be changed into a prime (2635145095963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19234635669 + ... + 19234635805.

Almost surely, 2^{2635145095969} is an apocalyptic number.

2635145095969 is the 1623313-rd square number.

2635145095969 is the 811657-th centered octagonal number.

It is an amenable number.

2635145095969 is a deficient number, since it is larger than the sum of its proper divisors (255749251932).

2635145095969 is an frugal number, since it uses more digits than its factorization.

2635145095969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 64.

Multiplying 2635145095969 by its sum of digits (64), we get a square (168649286142016 = 12986504²).

The spelling of 2635145095969 in words is "two trillion, six hundred thirty-five billion, one hundred forty-five million, ninety-five thousand, nine hundred sixty-nine".