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1252601238013 is a prime number
BaseRepresentation
bin10010001110100100110…
…110100001000111111101
311102202011221012212022221
4102032210312201013331
5131010311404104023
62355234223405341
7156332424564046
oct22164466410775
94382157185287
101252601238013
1144325281a824
12182919753851
1391173242008
14448aa4dd8cd
15228b2b0785d
hex123a4da11fd

1252601238013 has 2 divisors, whose sum is σ = 1252601238014. Its totient is φ = 1252601238012.

The previous prime is 1252601237999. The next prime is 1252601238067. The reversal of 1252601238013 is 3108321062521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1091861986084 + 160739251929 = 1044922^2 + 400923^2 .

It is a cyclic number.

It is not a de Polignac number, because 1252601238013 - 233 = 1244011303421 is a prime.

It is a super-2 number, since 2×12526012380132 (a number of 25 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 1252601238013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1252601238613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626300619006 + 626300619007.

It is an arithmetic number, because the mean of its divisors is an integer number (626300619007).

Almost surely, 21252601238013 is an apocalyptic number.

It is an amenable number.

1252601238013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1252601238013 is an equidigital number, since it uses as much as digits as its factorization.

1252601238013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 1252601238013 in words is "one trillion, two hundred fifty-two billion, six hundred one million, two hundred thirty-eight thousand, thirteen".