7953669050625 has 135 divisors (see below), whose sum is σ = 14846477252607. Its totient is φ = 4101735240000.

The previous prime is 7953669050623. The next prime is 7953669050633. The reversal of 7953669050625 is 5260509663597.

The square root of 7953669050625 is 2820225.

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

7953669050625 is a `hidden beast` number, since 7 + 9 + 5 + 36 + 6 + 90 + 506 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7902345054321 + 51323996304 = 2811111^2 + 226548^2 .

It is not a de Polignac number, because 7953669050625 - 2¹ = 7953669050623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7953669050623) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 6557022519 + ... + 6557023731.

Almost surely, 2^{7953669050625} is an apocalyptic number.

7953669050625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7953669050625 is the 2820225-th square number.

7953669050625 is the 1410113-rd centered octagonal number.

It is an amenable number.

7953669050625 is a deficient number, since it is larger than the sum of its proper divisors (6892808201982).

7953669050625 is an frugal number, since it uses more digits than its factorization.

7953669050625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 7953669050625 in words is "seven trillion, nine hundred fifty-three billion, six hundred sixty-nine million, fifty thousand, six hundred twenty-five".