6349014075625 has 45 divisors (see below), whose sum is σ = 8592068118249. Its totient is φ = 4687897968000.

The previous prime is 6349014075529. The next prime is 6349014075643. The reversal of 6349014075625 is 5265704109436.

The square root of 6349014075625 is 2519725.

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

It can be written as a sum of positive squares in 22 ways, for example, as 6337368212569 + 11645863056 = 2517413^2 + 107916^2 .

It is not a de Polignac number, because 6349014075625 - 2¹³ = 6349014067433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 818906749 + ... + 818914501.

Almost surely, 2^{6349014075625} is an apocalyptic number.

6349014075625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6349014075625 is the 2519725-th square number.

6349014075625 is the 1259863-rd centered octagonal number.

It is an amenable number.

6349014075625 is a deficient number, since it is larger than the sum of its proper divisors (2243054042624).

6349014075625 is an frugal number, since it uses more digits than its factorization.

6349014075625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 6349014075625 in words is "six trillion, three hundred forty-nine billion, fourteen million, seventy-five thousand, six hundred twenty-five".