125264601 has 96 divisors (see below), whose sum is σ = 244408320. Its totient is φ = 59875200.

The previous prime is 125264597. The next prime is 125264621. The reversal of 125264601 is 106462521.

125264601 is a `hidden beast` number, since 1 + 2 + 52 + 6 + 4 + 601 = 666.

It is not a de Polignac number, because 125264601 - 2² = 125264597 is a prime.

It is a super-3 number, since 3×125264601³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (125264621) 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 in 95 ways as a sum of consecutive naturals, for example, 462096 + ... + 462366.

It is an arithmetic number, because the mean of its divisors is an integer number (2545920).

Almost surely, 2^125264601 is an apocalyptic number.

125264601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125264601 is a deficient number, since it is larger than the sum of its proper divisors (119143719).

125264601 is a wasteful number, since it uses less digits than its factorization.

125264601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 125264601 is about 11192.1669483617. The cubic root of 125264601 is about 500.3525526881.

The spelling of 125264601 in words is "one hundred twenty-five million, two hundred sixty-four thousand, six hundred one".