253642169641 has 9 divisors (see below), whose sum is σ = 295057237149. Its totient is φ = 217404552204.

The previous prime is 253642169639. The next prime is 253642169653. The reversal of 253642169641 is 146961246352.

The square root of 253642169641 is 503629.

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

It is not a de Polignac number, because 253642169641 - 2¹ = 253642169639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253642167641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3489430 + ... + 3561376.

It is an arithmetic number, because the mean of its divisors is an integer number (32784137461).

Almost surely, 2^253642169641 is an apocalyptic number.

253642169641 is the 503629-th square number.

253642169641 is the 251815-th centered octagonal number.

It is an amenable number.

253642169641 is a deficient number, since it is larger than the sum of its proper divisors (41415067508).

253642169641 is an frugal number, since it uses more digits than its factorization.

253642169641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143908 (or 71954 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

Multiplying 253642169641 by its sum of digits (49), we get a square (12428466312409 = 3525403²).

253642169641 divided by its sum of digits (49) gives a square (5176370809 = 71947²).

It can be divided in two parts, 2536421 and 69641, that added together give a palindrome (2606062).

The spelling of 253642169641 in words is "two hundred fifty-three billion, six hundred forty-two million, one hundred sixty-nine thousand, six hundred forty-one".