905597753641 has 15 divisors (see below), whose sum is σ = 1056522251063. Its totient is φ = 776186677560.

The previous prime is 905597753639. The next prime is 905597753707. The reversal of 905597753641 is 146357795509.

It is a happy number.

The square root of 905597753641 is 951629.

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

905597753641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 887041865241 + 18555888400 = 941829^2 + 136220^2 .

It is not a de Polignac number, because 905597753641 - 2¹ = 905597753639 is a prime.

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 905597753641.

It is not an unprimeable number, because it can be changed into a prime (905597753611) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 46620111 + ... + 46639531.

Almost surely, 2^905597753641 is an apocalyptic number.

905597753641 is the 951629-th square number.

905597753641 is the 475815-th centered octagonal number.

It is an amenable number.

905597753641 is a deficient number, since it is larger than the sum of its proper divisors (150924497422).

905597753641 is an frugal number, since it uses more digits than its factorization.

905597753641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38870 (or 19428 counting only the distinct ones).

The product of its (nonzero) digits is 35721000, while the sum is 61.

The spelling of 905597753641 in words is "nine hundred five billion, five hundred ninety-seven million, seven hundred fifty-three thousand, six hundred forty-one".