1295353554496 has 63 divisors (see below), whose sum is σ = 2595477550081. Its totient is φ = 641435239424.

The previous prime is 1295353554493. The next prime is 1295353554529. The reversal of 1295353554496 is 6944553535921.

The square root of 1295353554496 is 1138136.

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

It can be written as a sum of positive squares in only one way, i.e., 22825166400 + 1272528388096 = 151080^2 + 1128064^2 .

It is a super-2 number, since 2×1295353554496² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1295353554493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1028874315 + ... + 1028875573.

Almost surely, 2^{1295353554496} is an apocalyptic number.

1295353554496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1295353554496 is the 1138136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1295353554496

1295353554496 is an abundant number, since it is smaller than the sum of its proper divisors (1300123995585).

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

1295353554496 is an frugal number, since it uses more digits than its factorization.

1295353554496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 1374 counting only the distinct ones).

The product of its digits is 87480000, while the sum is 61.

The spelling of 1295353554496 in words is "one trillion, two hundred ninety-five billion, three hundred fifty-three million, five hundred fifty-four thousand, four hundred ninety-six".