125251965 has 12 divisors (see below), whose sum is σ = 217103484. Its totient is φ = 66801024.

The previous prime is 125251939. The next prime is 125251967. The reversal of 125251965 is 569152521.

It can be written as a sum of positive squares in 2 ways, for example, as 66683556 + 58568409 = 8166^2 + 7653^2 .

It is not a de Polignac number, because 125251965 - 2⁶ = 125251901 is a prime.

It is a super-2 number, since 2×125251965² = 31376109472722450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125251967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391644 + ... + 1391733.

It is an arithmetic number, because the mean of its divisors is an integer number (18091957).

Almost surely, 2^125251965 is an apocalyptic number.

125251965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125251965 is a deficient number, since it is larger than the sum of its proper divisors (91851519).

125251965 is a wasteful number, since it uses less digits than its factorization.

125251965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783388 (or 2783385 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 125251965 is about 11191.6024321810. The cubic root of 125251965 is about 500.3357278565.

The spelling of 125251965 in words is "one hundred twenty-five million, two hundred fifty-one thousand, nine hundred sixty-five".