125629461 has 20 divisors (see below), whose sum is σ = 188645292. Its totient is φ = 83317248.

The previous prime is 125629457. The next prime is 125629529. The reversal of 125629461 is 164926521.

125629461 is a `hidden beast` number, since 1 + 2 + 562 + 94 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64883025 + 60746436 = 8055^2 + 7794^2 .

It is not a de Polignac number, because 125629461 - 2² = 125629457 is a prime.

It is a super-2 number, since 2×125629461² = 31565522942301042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125629661) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12021 + ... + 19893.

Almost surely, 2^125629461 is an apocalyptic number.

It is an amenable number.

125629461 is a deficient number, since it is larger than the sum of its proper divisors (63015831).

125629461 is an equidigital number, since it uses as much as digits as its factorization.

125629461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8073 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 125629461 is about 11208.4548890559. The cubic root of 125629461 is about 500.8378764751.

The spelling of 125629461 in words is "one hundred twenty-five million, six hundred twenty-nine thousand, four hundred sixty-one".