7522957325601 has 81 divisors (see below), whose sum is σ = 11231884626417. Its totient is φ = 4852124681040.

The previous prime is 7522957325593. The next prime is 7522957325627. The reversal of 7522957325601 is 1065237592257.

The square root of 7522957325601 is 2742801.

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

7522957325601 is a `hidden beast` number, since 7 + 5 + 2 + 2 + 9 + 5 + 7 + 3 + 25 + 601 = 666.

It is not a de Polignac number, because 7522957325601 - 2³ = 7522957325593 is a prime.

It is a super-2 number, since 2×7522957325601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7522957325101) 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 80 ways as a sum of consecutive naturals, for example, 46153112346 + ... + 46153112508.

Almost surely, 2^{7522957325601} is an apocalyptic number.

7522957325601 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7522957325601 is the 2742801-st square number.

7522957325601 is the 1371401-st centered octagonal number.

It is an amenable number.

7522957325601 is a deficient number, since it is larger than the sum of its proper divisors (3708927300816).

7522957325601 is an frugal number, since it uses more digits than its factorization.

7522957325601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 7522957325601 in words is "seven trillion, five hundred twenty-two billion, nine hundred fifty-seven million, three hundred twenty-five thousand, six hundred one".