7514314500625 has 135 divisors (see below), whose sum is σ = 10315449289431. Its totient is φ = 5471046504000.

The previous prime is 7514314500617. The next prime is 7514314500631. The reversal of 7514314500625 is 5260054134157.

The square root of 7514314500625 is 2741225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5620156851969 + 1894157648656 = 2370687^2 + 1376284^2 .

It is not a de Polignac number, because 7514314500625 - 2³ = 7514314500617 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 (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 37760374276 + ... + 37760374474.

Almost surely, 2^{7514314500625} is an apocalyptic number.

7514314500625 is the 2741225-th square number.

7514314500625 is the 1370613-rd centered octagonal number.

It is an amenable number.

7514314500625 is a deficient number, since it is larger than the sum of its proper divisors (2801134788806).

7514314500625 is an frugal number, since it uses more digits than its factorization.

7514314500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 7514314500625 in words is "seven trillion, five hundred fourteen billion, three hundred fourteen million, five hundred thousand, six hundred twenty-five".