125701965 has 12 divisors (see below), whose sum is σ = 217883484. Its totient is φ = 67041024.

The previous prime is 125701949. The next prime is 125701997. The reversal of 125701965 is 569107521.

125701965 is a `hidden beast` number, since 12 + 570 + 19 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31573161 + 94128804 = 5619^2 + 9702^2 .

It is not a de Polignac number, because 125701965 - 2⁴ = 125701949 is a prime.

It is a super-2 number, since 2×125701965² = 31601968009722450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 1396644 + ... + 1396733.

It is an arithmetic number, because the mean of its divisors is an integer number (18156957).

Almost surely, 2^125701965 is an apocalyptic number.

125701965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125701965 is a deficient number, since it is larger than the sum of its proper divisors (92181519).

125701965 is a wasteful number, since it uses less digits than its factorization.

125701965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793388 (or 2793385 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 125701965 is about 11211.6887666399. The cubic root of 125701965 is about 500.9342067617.

It can be divided in two parts, 12570 and 1965, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 125701965 in words is "one hundred twenty-five million, seven hundred one thousand, nine hundred sixty-five".