1525593052201 has 3 divisors (see below), whose sum is σ = 1525594287351. Its totient is φ = 1525591817052.

The previous prime is 1525593052121. The next prime is 1525593052237. The reversal of 1525593052201 is 1022503955251.

The square root of 1525593052201 is 1235149.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1157993362201 + 367599690000 = 1076101^2 + 606300^2 .

It is not a de Polignac number, because 1525593052201 - 2²⁵ = 1525559497769 is a prime.

It is a super-2 number, since 2×1525593052201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1525593052601) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 617575 + ... + 1852723.

It is an arithmetic number, because the mean of its divisors is an integer number (508531429117).

Almost surely, 2^{1525593052201} is an apocalyptic number.

1525593052201 is the 1235149-th square number.

1525593052201 is the 617575-th centered octagonal number.

It is an amenable number.

1525593052201 is a deficient number, since it is larger than the sum of its proper divisors (1235150).

1525593052201 is an frugal number, since it uses more digits than its factorization.

1525593052201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470298 (or 1235149 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 1525593052201 in words is "one trillion, five hundred twenty-five billion, five hundred ninety-three million, fifty-two thousand, two hundred one".