130024010447753 has 24 divisors (see below), whose sum is σ = 140685270599304. Its totient is φ = 119753698880000.

The previous prime is 130024010447743. The next prime is 130024010447759. The reversal of 130024010447753 is 357744010420031.

It can be written as a sum of positive squares in 4 ways, for example, as 64426516251769 + 65597494195984 = 8026613^2 + 8099228^2 .

It is a de Polignac number, because none of the positive numbers 2^k-130024010447753 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 130024010447753.

It is not an unprimeable number, because it can be changed into a prime (130024010447759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251384303 + ... + 251901003.

It is an arithmetic number, because the mean of its divisors is an integer number (5861886274971).

Almost surely, 2^{130024010447753} is an apocalyptic number.

It is an amenable number.

130024010447753 is a deficient number, since it is larger than the sum of its proper divisors (10661260151551).

130024010447753 is an equidigital number, since it uses as much as digits as its factorization.

130024010447753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523513 (or 523466 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

Adding to 130024010447753 its reverse (357744010420031), we get a palindrome (487768020867784).

The spelling of 130024010447753 in words is "one hundred thirty trillion, twenty-four billion, ten million, four hundred forty-seven thousand, seven hundred fifty-three".