125583313 has 2 divisors, whose sum is σ = 125583314. Its totient is φ = 125583312.

The previous prime is 125583277. The next prime is 125583383. The reversal of 125583313 is 313385521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86545809 + 39037504 = 9303^2 + 6248^2 .

It is a cyclic number.

It is not a de Polignac number, because 125583313 - 2⁹ = 125582801 is a prime.

It is a super-3 number, since 3×125583313³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (125583383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62791656 + 62791657.

It is an arithmetic number, because the mean of its divisors is an integer number (62791657).

Almost surely, 2^125583313 is an apocalyptic number.

It is an amenable number.

125583313 is a deficient number, since it is larger than the sum of its proper divisors (1).

125583313 is an equidigital number, since it uses as much as digits as its factorization.

125583313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10800, while the sum is 31.

The square root of 125583313 is about 11206.3960754562. The cubic root of 125583313 is about 500.7765440011.

The spelling of 125583313 in words is "one hundred twenty-five million, five hundred eighty-three thousand, three hundred thirteen".