264300753141 has 10 divisors (see below), whose sum is σ = 394819643702. Its totient is φ = 176200502040.

The previous prime is 264300753137. The next prime is 264300753169. The reversal of 264300753141 is 141357003462.

264300753141 is a `hidden beast` number, since 2 + 643 + 0 + 0 + 7 + 5 + 3 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156353022225 + 107947730916 = 395415^2 + 328554^2 .

It is not a de Polignac number, because 264300753141 - 2² = 264300753137 is a prime.

It is a super-2 number, since 2×264300753141² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264300753096 and 264300753105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264300753121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1631486050 + ... + 1631486211.

Almost surely, 2^264300753141 is an apocalyptic number.

It is an amenable number.

264300753141 is a deficient number, since it is larger than the sum of its proper divisors (130518890561).

264300753141 is an equidigital number, since it uses as much as digits as its factorization.

264300753141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262972273 (or 3262972264 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 264300753141 in words is "two hundred sixty-four billion, three hundred million, seven hundred fifty-three thousand, one hundred forty-one".