2605398013037 has 2 divisors, whose sum is σ = 2605398013038. Its totient is φ = 2605398013036.

The previous prime is 2605398013003. The next prime is 2605398013091. The reversal of 2605398013037 is 7303108935062.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1626507419716 + 978890593321 = 1275346^2 + 989389^2 .

It is a cyclic number.

It is not a de Polignac number, because 2605398013037 - 2²² = 2605393818733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2605398012982 and 2605398013000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2605398010037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1302699006518 + 1302699006519.

It is an arithmetic number, because the mean of its divisors is an integer number (1302699006519).

Almost surely, 2^{2605398013037} is an apocalyptic number.

It is an amenable number.

2605398013037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2605398013037 is an equidigital number, since it uses as much as digits as its factorization.

2605398013037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 2605398013037 in words is "two trillion, six hundred five billion, three hundred ninety-eight million, thirteen thousand, thirty-seven".