10625040522337 has 2 divisors, whose sum is σ = 10625040522338. Its totient is φ = 10625040522336.

The previous prime is 10625040522293. The next prime is 10625040522347. The reversal of 10625040522337 is 73322504052601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10280000587536 + 345039934801 = 3206244^2 + 587401^2 .

It is a cyclic number.

It is not a de Polignac number, because 10625040522337 - 2²⁷ = 10624906304609 is a prime.

It is a super-2 number, since 2×10625040522337² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10625040522337.

It is not a weakly prime, because it can be changed into another prime (10625040522347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5312520261168 + 5312520261169.

It is an arithmetic number, because the mean of its divisors is an integer number (5312520261169).

Almost surely, 2^{10625040522337} is an apocalyptic number.

It is an amenable number.

10625040522337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10625040522337 is an equidigital number, since it uses as much as digits as its factorization.

10625040522337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 40.

Adding to 10625040522337 its reverse (73322504052601), we get a palindrome (83947544574938).

The spelling of 10625040522337 in words is "ten trillion, six hundred twenty-five billion, forty million, five hundred twenty-two thousand, three hundred thirty-seven".