1305131344425 has 72 divisors (see below), whose sum is σ = 2475411396120. Its totient is φ = 655053772800.

The previous prime is 1305131344411. The next prime is 1305131344453. The reversal of 1305131344425 is 5244431315031.

1305131344425 is a `hidden beast` number, since 1 + 3 + 0 + 513 + 134 + 4 + 4 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6023777769 + 1299107566656 = 77613^2 + 1139784^2 .

It is not a de Polignac number, because 1305131344425 - 2²² = 1305127150121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1305131344425.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68033335 + ... + 68052515.

It is an arithmetic number, because the mean of its divisors is an integer number (34380713835).

Almost surely, 2^{1305131344425} is an apocalyptic number.

1305131344425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1305131344425 is a deficient number, since it is larger than the sum of its proper divisors (1170280051695).

1305131344425 is a wasteful number, since it uses less digits than its factorization.

1305131344425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37003 (or 36995 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1305131344425 its reverse (5244431315031), we get a palindrome (6549562659456).

The spelling of 1305131344425 in words is "one trillion, three hundred five billion, one hundred thirty-one million, three hundred forty-four thousand, four hundred twenty-five".