264435103131433 has 36 divisors (see below), whose sum is σ = 296236270551564. Its totient is φ = 235932102057600.

The previous prime is 264435103131431. The next prime is 264435103131443. The reversal of 264435103131433 is 334131301534462.

It can be written as a sum of positive squares in 6 ways, for example, as 144854054594089 + 119581048537344 = 12035533^2 + 10935312^2 .

It is not a de Polignac number, because 264435103131433 - 2¹ = 264435103131431 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 264435103131433.

It is not an unprimeable number, because it can be changed into a prime (264435103131431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132346191 + ... + 134329387.

It is an arithmetic number, because the mean of its divisors is an integer number (8228785293099).

Almost surely, 2^{264435103131433} is an apocalyptic number.

It is an amenable number.

264435103131433 is a deficient number, since it is larger than the sum of its proper divisors (31801167420131).

264435103131433 is a wasteful number, since it uses less digits than its factorization.

264435103131433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984106 (or 1984062 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 43.

Adding to 264435103131433 its reverse (334131301534462), we get a palindrome (598566404665895).

The spelling of 264435103131433 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, one hundred three million, one hundred thirty-one thousand, four hundred thirty-three".