125742733 has 2 divisors, whose sum is σ = 125742734. Its totient is φ = 125742732.

The previous prime is 125742731. The next prime is 125742797. The reversal of 125742733 is 337247521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72131049 + 53611684 = 8493^2 + 7322^2 .

It is a cyclic number.

It is not a de Polignac number, because 125742733 - 2¹ = 125742731 is a prime.

It is a super-2 number, since 2×125742733² = 31622469804618578, which contains 22 as substring.

Together with 125742731, it forms a pair of twin primes.

It is equal to p_7149940 and since 125742733 and 7149940 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125742731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62871366 + 62871367.

It is an arithmetic number, because the mean of its divisors is an integer number (62871367).

Almost surely, 2^125742733 is an apocalyptic number.

It is an amenable number.

125742733 is a deficient number, since it is larger than the sum of its proper divisors (1).

125742733 is an equidigital number, since it uses as much as digits as its factorization.

125742733 is an evil number, because the sum of its binary digits is even.

The product of its digits is 35280, while the sum is 34.

The square root of 125742733 is about 11213.5067218065. The cubic root of 125742733 is about 500.9883556854.

The spelling of 125742733 in words is "one hundred twenty-five million, seven hundred forty-two thousand, seven hundred thirty-three".