125034261 has 48 divisors (see below), whose sum is σ = 191443392. Its totient is φ = 72483840.

The previous prime is 125034179. The next prime is 125034293. The reversal of 125034261 is 162430521.

It is not a de Polignac number, because 125034261 - 2⁹ = 125033749 is a prime.

It is a super-2 number, since 2×125034261² = 31267132847632242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125034361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288965 + ... + 1289061.

It is an arithmetic number, because the mean of its divisors is an integer number (3988404).

Almost surely, 2^125034261 is an apocalyptic number.

125034261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125034261 is a deficient number, since it is larger than the sum of its proper divisors (66409131).

125034261 is a wasteful number, since it uses less digits than its factorization.

125034261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 125034261 is about 11181.8719810236. The cubic root of 125034261 is about 500.0456771604.

Adding to 125034261 its reverse (162430521), we get a palindrome (287464782).

It can be divided in two parts, 1250 and 34261, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 125034261 in words is "one hundred twenty-five million, thirty-four thousand, two hundred sixty-one".