1253113541 has 2 divisors, whose sum is σ = 1253113542. Its totient is φ = 1253113540.

The previous prime is 1253113523. The next prime is 1253113559. The reversal of 1253113541 is 1453113521.

It is a balanced prime because it is at equal distance from previous prime (1253113523) and next prime (1253113559).

It can be written as a sum of positive squares in only one way, i.e., 968516641 + 284596900 = 31121^2 + 16870^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1253113541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1253113541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1253113501) 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, 626556770 + 626556771.

It is an arithmetic number, because the mean of its divisors is an integer number (626556771).

Almost surely, 2^1253113541 is an apocalyptic number.

It is an amenable number.

1253113541 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253113541 is an equidigital number, since it uses as much as digits as its factorization.

1253113541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1800, while the sum is 26.

The square root of 1253113541 is about 35399.3437933530. The cubic root of 1253113541 is about 1078.1109928822.

The spelling of 1253113541 in words is "one billion, two hundred fifty-three million, one hundred thirteen thousand, five hundred forty-one".