263641124565 has 128 divisors (see below), whose sum is σ = 610788971520. Its totient is φ = 104706514944.

The previous prime is 263641124557. The next prime is 263641124567. The reversal of 263641124565 is 565421146362.

263641124565 is a `hidden beast` number, since 2 + 6 + 3 + 64 + 1 + 1 + 24 + 565 = 666.

It is not a de Polignac number, because 263641124565 - 2³ = 263641124557 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 263641124565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263641124567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422344 + ... + 840033.

It is an arithmetic number, because the mean of its divisors is an integer number (4771788840).

Almost surely, 2^263641124565 is an apocalyptic number.

It is an amenable number.

263641124565 is an abundant number, since it is smaller than the sum of its proper divisors (347147846955).

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

263641124565 is a wasteful number, since it uses less digits than its factorization.

263641124565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262428 (or 1262422 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 263641124565 in words is "two hundred sixty-three billion, six hundred forty-one million, one hundred twenty-four thousand, five hundred sixty-five".