2625032057537 has 2 divisors, whose sum is σ = 2625032057538. Its totient is φ = 2625032057536.

The previous prime is 2625032057521. The next prime is 2625032057551. The reversal of 2625032057537 is 7357502305262.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2514748953616 + 110283103921 = 1585796^2 + 332089^2 .

It is a cyclic number.

It is not a de Polignac number, because 2625032057537 - 2⁴ = 2625032057521 is a prime.

It is a super-4 number, since 4×2625032057537⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2625032057491 and 2625032057500.

It is not a weakly prime, because it can be changed into another prime (2625032057567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1312516028768 + 1312516028769.

It is an arithmetic number, because the mean of its divisors is an integer number (1312516028769).

Almost surely, 2^{2625032057537} is an apocalyptic number.

It is an amenable number.

2625032057537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2625032057537 is an equidigital number, since it uses as much as digits as its factorization.

2625032057537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646000, while the sum is 47.

The spelling of 2625032057537 in words is "two trillion, six hundred twenty-five billion, thirty-two million, fifty-seven thousand, five hundred thirty-seven".